261932688360 has 512 divisors, whose sum is σ = 1032479539200. Its totient is φ = 57801185280.

The previous prime is 261932688323. The next prime is 261932688377. The reversal of 261932688360 is 63886239162.

261932688360 is a `hidden beast` number, since 2 + 6 + 19 + 3 + 268 + 8 + 360 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 261932688297 and 261932688306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122569212 + ... + 122571348.

It is an arithmetic number, because the mean of its divisors is an integer number (2016561600).

Almost surely, 2^261932688360 is an apocalyptic number.

261932688360 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 261932688360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516239769600).

261932688360 is an abundant number, since it is smaller than the sum of its proper divisors (770546850840).

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

261932688360 is a wasteful number, since it uses less digits than its factorization.

261932688360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 261932688360 in words is "two hundred sixty-one billion, nine hundred thirty-two million, six hundred eighty-eight thousand, three hundred sixty".