256490225913600 has 3456 divisors, whose sum is σ = 1159429402880000. Its totient is φ = 55306395648000.

The previous prime is 256490225913589. The next prime is 256490225913601. The reversal of 256490225913600 is 6319522094652.

256490225913600 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 9 + 0 + 2 + 25 + 9 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256490225913601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 474103929330 + ... + 474103929870.

Almost surely, 2^{256490225913600} is an apocalyptic number.

256490225913600 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 256490225913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579714701440000).

256490225913600 is an abundant number, since it is smaller than the sum of its proper divisors (902939176966400).

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

256490225913600 is a wasteful number, since it uses less digits than its factorization.

256490225913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 256490225913600 in words is "two hundred fifty-six trillion, four hundred ninety billion, two hundred twenty-five million, nine hundred thirteen thousand, six hundred".