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53870215680000 = 21232547332029
BaseRepresentation
bin11000011111110101000110…
…00100011101000000000000
321001201221102221202101210100
430033322203010131000000
524030102200203230000
6310323345131002400
714226665110051446
oct1417724304350000
9231657387671710
1053870215680000
111618a2593a3165
1260604aa299400
132409c2a231195
14d43491d82b96
1563644bbaba00
hex30fea311d000

53870215680000 has 780 divisors, whose sum is σ = 197115134419060. Its totient is φ = 14168162304000.

The previous prime is 53870215679989. The next prime is 53870215680059. The reversal of 53870215680000 is 8651207835.

53870215680000 is a `hidden beast` number, since 5 + 3 + 87 + 0 + 2 + 1 + 568 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 52319413702656 + 1550801977344 = 7233216^2 + 1245312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1681903986 + ... + 1681936014.

Almost surely, 253870215680000 is an apocalyptic number.

53870215680000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53870215680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98557567209530).

53870215680000 is an abundant number, since it is smaller than the sum of its proper divisors (143244918739060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53870215680000 is an equidigital number, since it uses as much as digits as its factorization.

53870215680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32152 (or 32112 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 53870215680000 its reverse (8651207835), we get a palindrome (53878866887835).

The spelling of 53870215680000 in words is "fifty-three trillion, eight hundred seventy billion, two hundred fifteen million, six hundred eighty thousand".