256617429600 has 864 divisors, whose sum is σ = 1026960270336. Its totient is φ = 55409356800.

The previous prime is 256617429553. The next prime is 256617429611. The reversal of 256617429600 is 6924716652.

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 256617429600.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 156759982 + ... + 156761618.

It is an arithmetic number, because the mean of its divisors is an integer number (1188611424).

Almost surely, 2^256617429600 is an apocalyptic number.

256617429600 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 256617429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513480135168).

256617429600 is an abundant number, since it is smaller than the sum of its proper divisors (770342840736).

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

256617429600 is a wasteful number, since it uses less digits than its factorization.

256617429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 256617429600 in words is "two hundred fifty-six billion, six hundred seventeen million, four hundred twenty-nine thousand, six hundred".