261875974060800 has 5184 divisors, whose sum is σ = 1196859136112640. Its totient is φ = 55825956864000.

The previous prime is 261875974060711. The next prime is 261875974060861. The reversal of 261875974060800 is 8060479578162.

261875974060800 is a `hidden beast` number, since 2 + 6 + 18 + 7 + 5 + 9 + 7 + 4 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 458626924515 + ... + 458626925085.

It is an arithmetic number, because the mean of its divisors is an integer number (230875604960).

Almost surely, 2^{261875974060800} is an apocalyptic number.

261875974060800 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 261875974060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598429568056320).

261875974060800 is an abundant number, since it is smaller than the sum of its proper divisors (934983162051840).

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

261875974060800 is a wasteful number, since it uses less digits than its factorization.

261875974060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 261875974060800 in words is "two hundred sixty-one trillion, eight hundred seventy-five billion, nine hundred seventy-four million, sixty thousand, eight hundred".