53384615661312 has 864 divisors, whose sum is σ = 182318751853056. Its totient is φ = 15453960192000.

The previous prime is 53384615661287. The next prime is 53384615661329. The reversal of 53384615661312 is 21316651648335.

53384615661312 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 4 + 6 + 1 + 5 + 6 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×53384615661312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1134588187 + ... + 1134635237.

It is an arithmetic number, because the mean of its divisors is an integer number (211017073904).

Almost surely, 2^{53384615661312} is an apocalyptic number.

53384615661312 is a gapful number since it is divisible by the number (52) 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 53384615661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91159375926528).

53384615661312 is an abundant number, since it is smaller than the sum of its proper divisors (128934136191744).

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

53384615661312 is a wasteful number, since it uses less digits than its factorization.

53384615661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47179 (or 47153 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 53384615661312 in words is "fifty-three trillion, three hundred eighty-four billion, six hundred fifteen million, six hundred sixty-one thousand, three hundred twelve".