11632977615280 has 160 divisors (see below), whose sum is σ = 31197789892224. Its totient is φ = 3951408857088.

The previous prime is 11632977615277. The next prime is 11632977615293. The reversal of 11632977615280 is 8251677923611.

11632977615280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147592842 + ... + 147671638.

Almost surely, 2^{11632977615280} is an apocalyptic number.

11632977615280 is a gapful number since it is divisible by the number (10) 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 11632977615280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598894946112).

11632977615280 is an abundant number, since it is smaller than the sum of its proper divisors (19564812276944).

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

11632977615280 is a wasteful number, since it uses less digits than its factorization.

11632977615280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81263 (or 81257 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 11632977615280 in words is "eleven trillion, six hundred thirty-two billion, nine hundred seventy-seven million, six hundred fifteen thousand, two hundred eighty".