261772807262100 has 144 divisors (see below), whose sum is σ = 803282418718080. Its totient is φ = 65676427660800.

The previous prime is 261772807262017. The next prime is 261772807262173. The reversal of 261772807262100 is 1262708277162.

It is a happy number.

261772807262100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 310547035 + ... + 311388834.

Almost surely, 2^{261772807262100} is an apocalyptic number.

261772807262100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261772807262100 is an abundant number, since it is smaller than the sum of its proper divisors (541509611455980).

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

261772807262100 is a wasteful number, since it uses less digits than its factorization.

261772807262100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621935970 (or 621935963 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 261772807262100 in words is "two hundred sixty-one trillion, seven hundred seventy-two billion, eight hundred seven million, two hundred sixty-two thousand, one hundred".