256798374120 has 192 divisors, whose sum is σ = 865287820800. Its totient is φ = 65980500480.

The previous prime is 256798374113. The next prime is 256798374137. The reversal of 256798374120 is 21473897652.

It is a happy number.

256798374120 is a `hidden beast` number, since 2 + 5 + 67 + 98 + 374 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505399 + ... + 2605881.

It is an arithmetic number, because the mean of its divisors is an integer number (4506707400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅256798374120 = 513596748240, but 3⋅256798374120 = 770395122360 is not.

Almost surely, 2^256798374120 is an apocalyptic number.

256798374120 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 256798374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432643910400).

256798374120 is an abundant number, since it is smaller than the sum of its proper divisors (608489446680).

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

256798374120 is a wasteful number, since it uses less digits than its factorization.

256798374120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100760 (or 100753 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 256798374120 in words is "two hundred fifty-six billion, seven hundred ninety-eight million, three hundred seventy-four thousand, one hundred twenty".