256420676160 has 560 divisors, whose sum is σ = 999419522112. Its totient is φ = 62145792000.

The previous prime is 256420676137. The next prime is 256420676167. The reversal of 256420676160 is 61676024652.

256420676160 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 20 + 6 + 7 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256420676167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69282310 + ... + 69286010.

Almost surely, 2^256420676160 is an apocalyptic number.

256420676160 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 256420676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499709761056).

256420676160 is an abundant number, since it is smaller than the sum of its proper divisors (742998845952).

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

256420676160 is an frugal number, since it uses more digits than its factorization.

256420676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 256420676160 in words is "two hundred fifty-six billion, four hundred twenty million, six hundred seventy-six thousand, one hundred sixty".