53514139550256 has 480 divisors, whose sum is σ = 195142562933760. Its totient is φ = 13884463756800.

The previous prime is 53514139550233. The next prime is 53514139550269. The reversal of 53514139550256 is 65205593141535.

53514139550256 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 4 + 1 + 39 + 550 + 2 + 56 = 666.

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

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, 211998390 + ... + 212250666.

It is an arithmetic number, because the mean of its divisors is an integer number (406547006112).

Almost surely, 2^{53514139550256} is an apocalyptic number.

53514139550256 is a gapful number since it is divisible by the number (56) 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 53514139550256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97571281466880).

53514139550256 is an abundant number, since it is smaller than the sum of its proper divisors (141628423383504).

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

53514139550256 is a wasteful number, since it uses less digits than its factorization.

53514139550256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253230 (or 253211 counting only the distinct ones).

The product of its (nonzero) digits is 12150000, while the sum is 54.

The spelling of 53514139550256 in words is "fifty-three trillion, five hundred fourteen billion, one hundred thirty-nine million, five hundred fifty thousand, two hundred fifty-six".