256906805760 has 1600 divisors, whose sum is σ = 1078041000960. Its totient is φ = 57857310720.

The previous prime is 256906805741. The next prime is 256906805777. The reversal of 256906805760 is 67508609652.

It is a happy number.

256906805760 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 0 + 68 + 0 + 576 + 0 = 666.

It is a super-2 number, since 2×256906805760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 256906805697 and 256906805706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3095262679 + ... + 3095262761.

Almost surely, 2^256906805760 is an apocalyptic number.

256906805760 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 256906805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539020500480).

256906805760 is an abundant number, since it is smaller than the sum of its proper divisors (821134195200).

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

256906805760 is a wasteful number, since it uses less digits than its factorization.

256906805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 256906805760 in words is "two hundred fifty-six billion, nine hundred six million, eight hundred five thousand, seven hundred sixty".