261379364963580 has 72 divisors (see below), whose sum is σ = 818426570742144. Its totient is φ = 67452739344000.

The previous prime is 261379364963467. The next prime is 261379364963593. The reversal of 261379364963580 is 85369463973162.

261379364963580 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 7 + 9 + 36 + 4 + 9 + 6 + 3 + 580 = 666.

261379364963580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 261379364963499 and 261379364963508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23421084471 + ... + 23421095630.

It is an arithmetic number, because the mean of its divisors is an integer number (11367035704752).

It is a 1-persistent number, because it is pandigital, but 2⋅261379364963580 = 522758729927160 is not.

Almost surely, 2^{261379364963580} is an apocalyptic number.

261379364963580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261379364963580 is an abundant number, since it is smaller than the sum of its proper divisors (557047205778564).

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

261379364963580 is a wasteful number, since it uses less digits than its factorization.

261379364963580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46842180147 (or 46842180142 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 261379364963580 in words is "two hundred sixty-one trillion, three hundred seventy-nine billion, three hundred sixty-four million, nine hundred sixty-three thousand, five hundred eighty".