261534377332224 has 80 divisors (see below), whose sum is σ = 774159919053840. Its totient is φ = 87178125772800.

The previous prime is 261534377332223. The next prime is 261534377332507. The reversal of 261534377332224 is 422233773435162.

261534377332224 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 343 + 7 + 73 + 3 + 2 + 224 = 666.

261534377332224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261534377332223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9459418227 + ... + 9459445874.

It is an arithmetic number, because the mean of its divisors is an integer number (9676998988173).

Almost surely, 2^{261534377332224} is an apocalyptic number.

261534377332224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261534377332224 is an abundant number, since it is smaller than the sum of its proper divisors (512625541721616).

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

261534377332224 is an equidigital number, since it uses as much as digits as its factorization.

261534377332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18918864128 (or 18918864106 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 54.

The spelling of 261534377332224 in words is "two hundred sixty-one trillion, five hundred thirty-four billion, three hundred seventy-seven million, three hundred thirty-two thousand, two hundred twenty-four".