256379508510720 has 416 divisors, whose sum is σ = 978263028836352. Its totient is φ = 56053157462016.

The previous prime is 256379508510661. The next prime is 256379508510757. The reversal of 256379508510720 is 27015805973652.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067302 + ... + 22850981.

Almost surely, 2^{256379508510720} is an apocalyptic number.

256379508510720 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 256379508510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489131514418176).

256379508510720 is an abundant number, since it is smaller than the sum of its proper divisors (721883520325632).

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

256379508510720 is a wasteful number, since it uses less digits than its factorization.

256379508510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25918345 (or 25918323 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 256379508510720 in words is "two hundred fifty-six trillion, three hundred seventy-nine billion, five hundred eight million, five hundred ten thousand, seven hundred twenty".