256878115992720 has 120 divisors (see below), whose sum is σ = 862688755828536. Its totient is φ = 68500321449984.

The previous prime is 256878115992691. The next prime is 256878115992731. The reversal of 256878115992720 is 27299511878652.

256878115992720 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 7 + 8 + 1 + 1 + 599 + 2 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27598799943936 + 229279316048784 = 5253456^2 + 15141972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101025294 + ... + 103536786.

Almost surely, 2^{256878115992720} is an apocalyptic number.

256878115992720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256878115992720 is an abundant number, since it is smaller than the sum of its proper divisors (605810639835816).

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

256878115992720 is a wasteful number, since it uses less digits than its factorization.

256878115992720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653569 (or 2653560 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 256878115992720 in words is "two hundred fifty-six trillion, eight hundred seventy-eight billion, one hundred fifteen million, nine hundred ninety-two thousand, seven hundred twenty".