256094137680 has 320 divisors, whose sum is σ = 879441712128. Its totient is φ = 61370859520.

The previous prime is 256094137661. The next prime is 256094137687. The reversal of 256094137680 is 86731490652.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256094137687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7845874 + ... + 7878446.

It is a 1-persistent number, because it is pandigital, but 2⋅256094137680 = 512188275360 is not.

Almost surely, 2^256094137680 is an apocalyptic number.

256094137680 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 256094137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439720856064).

256094137680 is an abundant number, since it is smaller than the sum of its proper divisors (623347574448).

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

256094137680 is a wasteful number, since it uses less digits than its factorization.

256094137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32694 (or 32688 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 256094137680 in words is "two hundred fifty-six billion, ninety-four million, one hundred thirty-seven thousand, six hundred eighty".