256969732152 has 192 divisors, whose sum is σ = 768531456000. Its totient is φ = 71340321024.

The previous prime is 256969732147. The next prime is 256969732181. The reversal of 256969732152 is 251237969652.

It is a super-2 number, since 2×256969732152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256969732092 and 256969732101.

It is a congruent number.

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, 36503049 + ... + 36510087.

It is an arithmetic number, because the mean of its divisors is an integer number (4002768000).

Almost surely, 2^256969732152 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 256969732152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384265728000).

256969732152 is an abundant number, since it is smaller than the sum of its proper divisors (511561723848).

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

256969732152 is a wasteful number, since it uses less digits than its factorization.

256969732152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7938 (or 7927 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

It can be divided in two parts, 256969 and 732152, that added together give a triangular number (989121 = T₁₄₀₆).

The spelling of 256969732152 in words is "two hundred fifty-six billion, nine hundred sixty-nine million, seven hundred thirty-two thousand, one hundred fifty-two".