256513554360 has 192 divisors, whose sum is σ = 953628062400. Its totient is φ = 58578536448.

The previous prime is 256513554337. The next prime is 256513554361. The reversal of 256513554360 is 63455315652.

256513554360 is a `hidden beast` number, since 2 + 5 + 65 + 1 + 3 + 554 + 36 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256513554361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2769276 + ... + 2860404.

It is an arithmetic number, because the mean of its divisors is an integer number (4966812825).

Almost surely, 2^256513554360 is an apocalyptic number.

256513554360 is a gapful number since it is divisible by the number (20) 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 256513554360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476814031200).

256513554360 is an abundant number, since it is smaller than the sum of its proper divisors (697114508040).

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

256513554360 is a wasteful number, since it uses less digits than its factorization.

256513554360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92270 (or 92263 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 256513554360 in words is "two hundred fifty-six billion, five hundred thirteen million, five hundred fifty-four thousand, three hundred sixty".