13395993975 has 96 divisors (see below), whose sum is σ = 30288061440. Its totient is φ = 5652789120.

The previous prime is 13395993907. The next prime is 13395993977. The reversal of 13395993975 is 57939959331.

13395993975 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 599 + 39 + 7 + 5 = 666.

It is not a de Polignac number, because 13395993975 - 2⁷ = 13395993847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395993977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47619 + ... + 170468.

It is an arithmetic number, because the mean of its divisors is an integer number (315500640).

Almost surely, 2^13395993975 is an apocalyptic number.

13395993975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13395993975 is an abundant number, since it is smaller than the sum of its proper divisors (16892067465).

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

13395993975 is a wasteful number, since it uses less digits than its factorization.

13395993975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218126 (or 218115 counting only the distinct ones).

The product of its digits is 31000725, while the sum is 63.

The spelling of 13395993975 in words is "thirteen billion, three hundred ninety-five million, nine hundred ninety-three thousand, nine hundred seventy-five".