261157608000 has 560 divisors, whose sum is σ = 969333640704. Its totient is φ = 69412377600.

The previous prime is 261157607987. The next prime is 261157608017. The reversal of 261157608000 is 806751162.

261157608000 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 576 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302615569 + ... + 302616431.

Almost surely, 2^261157608000 is an apocalyptic number.

261157608000 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 261157608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484666820352).

261157608000 is an abundant number, since it is smaller than the sum of its proper divisors (708176032704).

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

261157608000 is an equidigital number, since it uses as much as digits as its factorization.

261157608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 261157608000 in words is "two hundred sixty-one billion, one hundred fifty-seven million, six hundred eight thousand".