11632638001059 has 24 divisors (see below), whose sum is σ = 17161152088080. Its totient is φ = 7591366671552.

The previous prime is 11632638000983. The next prime is 11632638001207. The reversal of 11632638001059 is 95010083623611.

11632638001059 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 638 + 0 + 0 + 1 + 0 + 5 + 9 = 666.

It is not a de Polignac number, because 11632638001059 - 2⁸ = 11632638000803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11632638000059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71351944 + ... + 71514789.

It is an arithmetic number, because the mean of its divisors is an integer number (715048003670).

Almost surely, 2^{11632638001059} is an apocalyptic number.

11632638001059 is a deficient number, since it is larger than the sum of its proper divisors (5528514087021).

11632638001059 is a wasteful number, since it uses less digits than its factorization.

11632638001059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142866931 (or 142866928 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11632638001059 in words is "eleven trillion, six hundred thirty-two billion, six hundred thirty-eight million, one thousand, fifty-nine".