256506403571604 has 36 divisors (see below), whose sum is σ = 648605673084096. Its totient is φ = 85473850619088.

The previous prime is 256506403571599. The next prime is 256506403571611. The reversal of 256506403571604 is 406175304605652.

256506403571604 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 6 + 4 + 0 + 3 + 571 + 60 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×256506403571604³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178385694 + ... + 1178603349.

It is an arithmetic number, because the mean of its divisors is an integer number (18016824252336).

Almost surely, 2^{256506403571604} is an apocalyptic number.

It is an amenable number.

256506403571604 is an abundant number, since it is smaller than the sum of its proper divisors (392099269512492).

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

256506403571604 is a wasteful number, since it uses less digits than its factorization.

256506403571604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356992076 (or 2356992071 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 256506403571604 in words is "two hundred fifty-six trillion, five hundred six billion, four hundred three million, five hundred seventy-one thousand, six hundred four".