256926735324 has 576 divisors, whose sum is σ = 852879605760. Its totient is φ = 65941724160.

The previous prime is 256926735271. The next prime is 256926735353. The reversal of 256926735324 is 423537629652.

256926735324 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 267 + 353 + 24 = 666.

It is a super-2 number, since 2×256926735324² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283270479 + ... + 283271385.

It is an arithmetic number, because the mean of its divisors is an integer number (1480693760).

Almost surely, 2^256926735324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256926735324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426439802880).

256926735324 is an abundant number, since it is smaller than the sum of its proper divisors (595952870436).

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

256926735324 is a wasteful number, since it uses less digits than its factorization.

256926735324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 256926735324 in words is "two hundred fifty-six billion, nine hundred twenty-six million, seven hundred thirty-five thousand, three hundred twenty-four".