256910985003008 has 372 divisors, whose sum is σ = 631617890255640. Its totient is φ = 103903848824832.

The previous prime is 256910985002983. The next prime is 256910985003031. The reversal of 256910985003008 is 800300589019652.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999653638016 + ... + 999653638272.

Almost surely, 2^{256910985003008} is an apocalyptic number.

256910985003008 is a gapful number since it is divisible by the number (28) 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 256910985003008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315808945127820).

256910985003008 is an abundant number, since it is smaller than the sum of its proper divisors (374706905252632).

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

256910985003008 is an frugal number, since it uses more digits than its factorization.

256910985003008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 56.

The spelling of 256910985003008 in words is "two hundred fifty-six trillion, nine hundred ten billion, nine hundred eighty-five million, three thousand, eight".