261939600939744 has 2688 divisors, whose sum is σ = 1023490208563200. Its totient is φ = 64081381478400.

The previous prime is 261939600939649. The next prime is 261939600939763. The reversal of 261939600939744 is 447939006939162.

261939600939744 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 3 + 9 + 600 + 9 + 3 + 9 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×261939600939744² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 227575673569 + ... + 227575674719.

It is an arithmetic number, because the mean of its divisors is an integer number (380762726400).

Almost surely, 2^{261939600939744} is an apocalyptic number.

261939600939744 is a gapful number since it is divisible by the number (24) 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 261939600939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511745104281600).

261939600939744 is an abundant number, since it is smaller than the sum of its proper divisors (761550607623456).

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

261939600939744 is a wasteful number, since it uses less digits than its factorization.

261939600939744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 72.

The spelling of 261939600939744 in words is "two hundred sixty-one trillion, nine hundred thirty-nine billion, six hundred million, nine hundred thirty-nine thousand, seven hundred forty-four".