11632635560 has 128 divisors (see below), whose sum is σ = 34108542720. Its totient is φ = 3464957952.

The previous prime is 11632635557. The next prime is 11632635583. The reversal of 11632635560 is 6553623611.

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, 32114 + ... + 155873.

It is an arithmetic number, because the mean of its divisors is an integer number (266472990).

Almost surely, 2^11632635560 is an apocalyptic number.

11632635560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11632635560 is an abundant number, since it is smaller than the sum of its proper divisors (22475907160).

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

11632635560 is a wasteful number, since it uses less digits than its factorization.

11632635560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188035 (or 188031 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 11632635560 in words is "eleven billion, six hundred thirty-two million, six hundred thirty-five thousand, five hundred sixty".