261380046800 has 120 divisors (see below), whose sum is σ = 638895402720. Its totient is φ = 102735705600.

The previous prime is 261380046779. The next prime is 261380046817. The reversal of 261380046800 is 8640083162.

It is a happy number.

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, 27396431 + ... + 27405969.

It is an arithmetic number, because the mean of its divisors is an integer number (5324128356).

Almost surely, 2^261380046800 is an apocalyptic number.

261380046800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261380046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319447701360).

261380046800 is an abundant number, since it is smaller than the sum of its proper divisors (377515355920).

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

261380046800 is a wasteful number, since it uses less digits than its factorization.

261380046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 261380046800 in words is "two hundred sixty-one billion, three hundred eighty million, forty-six thousand, eight hundred".