13577750349921 has 48 divisors (see below), whose sum is σ = 20124259384320. Its totient is φ = 8816295882240.

The previous prime is 13577750349871. The next prime is 13577750349929. The reversal of 13577750349921 is 12994305777531.

13577750349921 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 77 + 50 + 3 + 499 + 21 = 666.

It is not a de Polignac number, because 13577750349921 - 2¹⁸ = 13577750087777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13577750349929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790176496 + ... + 790193678.

It is an arithmetic number, because the mean of its divisors is an integer number (419255403840).

Almost surely, 2^{13577750349921} is an apocalyptic number.

It is an amenable number.

13577750349921 is a deficient number, since it is larger than the sum of its proper divisors (6546509034399).

13577750349921 is a wasteful number, since it uses less digits than its factorization.

13577750349921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20686 (or 20683 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 13577750349921 in words is "thirteen trillion, five hundred seventy-seven billion, seven hundred fifty million, three hundred forty-nine thousand, nine hundred twenty-one".