261396056874600 has 192 divisors, whose sum is σ = 900373874169600. Its totient is φ = 69704865884160.

The previous prime is 261396056874581. The next prime is 261396056874629. The reversal of 261396056874600 is 6478650693162.

261396056874600 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 9 + 6 + 0 + 568 + 7 + 4 + 60 + 0 = 666.

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, 654890689 + ... + 655289711.

It is an arithmetic number, because the mean of its divisors is an integer number (4689447261300).

It is a 1-persistent number, because it is pandigital, but 2⋅261396056874600 = 522792113749200 is not.

Almost surely, 2^{261396056874600} is an apocalyptic number.

261396056874600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261396056874600 is an abundant number, since it is smaller than the sum of its proper divisors (638977817295000).

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

261396056874600 is a wasteful number, since it uses less digits than its factorization.

261396056874600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520361 (or 520346 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 261396056874600 in words is "two hundred sixty-one trillion, three hundred ninety-six billion, fifty-six million, eight hundred seventy-four thousand, six hundred".