261875649024000 has 3744 divisors, whose sum is σ = 1128713189535360. Its totient is φ = 59982446592000.

The previous prime is 261875649023971. The next prime is 261875649024023. The reversal of 261875649024000 is 420946578162.

261875649024000 is a `hidden beast` number, since 2 + 6 + 1 + 87 + 56 + 490 + 24 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 702079487814 + ... + 702079488186.

It is an arithmetic number, because the mean of its divisors is an integer number (301472539940).

Almost surely, 2^{261875649024000} is an apocalyptic number.

261875649024000 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 261875649024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564356594767680).

261875649024000 is an abundant number, since it is smaller than the sum of its proper divisors (866837540511360).

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

261875649024000 is an frugal number, since it uses more digits than its factorization.

261875649024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 261875649024000 in words is "two hundred sixty-one trillion, eight hundred seventy-five billion, six hundred forty-nine million, twenty-four thousand".