256523937600 has 336 divisors, whose sum is σ = 981478352000. Its totient is φ = 58633666560.

The previous prime is 256523937559. The next prime is 256523937611. The reversal of 256523937600 is 6739325652.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256523937600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568496 + ... + 1724304.

Almost surely, 2^256523937600 is an apocalyptic number.

256523937600 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 256523937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490739176000).

256523937600 is an abundant number, since it is smaller than the sum of its proper divisors (724954414400).

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

256523937600 is a wasteful number, since it uses less digits than its factorization.

256523937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155855 (or 155826 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 256523937600 in words is "two hundred fifty-six billion, five hundred twenty-three million, nine hundred thirty-seven thousand, six hundred".