13577204992779 has 32 divisors (see below), whose sum is σ = 20260009324800. Its totient is φ = 8985941737920.

The previous prime is 13577204992699. The next prime is 13577204992783. The reversal of 13577204992779 is 97729940277531.

13577204992779 is a `hidden beast` number, since 1 + 3 + 577 + 2 + 0 + 49 + 9 + 2 + 7 + 7 + 9 = 666.

It is not a de Polignac number, because 13577204992779 - 2¹⁷ = 13577204861707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13577204992579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97662412 + ... + 97801334.

It is an arithmetic number, because the mean of its divisors is an integer number (633125291400).

Almost surely, 2^{13577204992779} is an apocalyptic number.

13577204992779 is a deficient number, since it is larger than the sum of its proper divisors (6682804332021).

13577204992779 is a wasteful number, since it uses less digits than its factorization.

13577204992779 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165112 (or 165106 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 13577204992779 in words is "thirteen trillion, five hundred seventy-seven billion, two hundred four million, nine hundred ninety-two thousand, seven hundred seventy-nine".