256161305728692 has 288 divisors, whose sum is σ = 826916749568000. Its totient is φ = 65040942366720.

The previous prime is 256161305728651. The next prime is 256161305728709. The reversal of 256161305728692 is 296827503161652.

256161305728692 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 613 + 0 + 5 + 7 + 2 + 8 + 6 + 9 + 2 = 666.

256161305728692 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256161305728692² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13065684 + ... + 26134932.

Almost surely, 2^{256161305728692} 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 256161305728692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413458374784000).

256161305728692 is an abundant number, since it is smaller than the sum of its proper divisors (570755443839308).

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

256161305728692 is a wasteful number, since it uses less digits than its factorization.

256161305728692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069503 (or 13069498 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 256161305728692 in words is "two hundred fifty-six trillion, one hundred sixty-one billion, three hundred five million, seven hundred twenty-eight thousand, six hundred ninety-two".