11632638005800 has 48 divisors (see below), whose sum is σ = 30909580990560. Its totient is φ = 3988333030080.

The previous prime is 11632638005789. The next prime is 11632638005803. The reversal of 11632638005800 is 850083623611.

It is not an unprimeable number, because it can be changed into a prime (11632638005803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4154512174 + ... + 4154514973.

It is an arithmetic number, because the mean of its divisors is an integer number (643949603970).

Almost surely, 2^{11632638005800} is an apocalyptic number.

11632638005800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11632638005800 is an abundant number, since it is smaller than the sum of its proper divisors (19276942984760).

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

11632638005800 is a wasteful number, since it uses less digits than its factorization.

11632638005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309027170 (or 8309027161 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 11632638005800 in words is "eleven trillion, six hundred thirty-two billion, six hundred thirty-eight million, five thousand, eight hundred".