256039307748000 has 1920 divisors, whose sum is σ = 1111558416224256. Its totient is φ = 56486605824000.

The previous prime is 256039307747963. The next prime is 256039307748023. The reversal of 256039307748000 is 847703930652.

256039307748000 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 3 + 93 + 0 + 77 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×256039307748000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27912271414 + ... + 27912280586.

Almost surely, 2^{256039307748000} is an apocalyptic number.

256039307748000 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 256039307748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555779208112128).

256039307748000 is an abundant number, since it is smaller than the sum of its proper divisors (855519108476256).

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

256039307748000 is a wasteful number, since it uses less digits than its factorization.

256039307748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 256039307748000 in words is "two hundred fifty-six trillion, thirty-nine billion, three hundred seven million, seven hundred forty-eight thousand".