13976747579090 has 128 divisors (see below), whose sum is σ = 26298727488000. Its totient is φ = 5343664214016.

The previous prime is 13976747579089. The next prime is 13976747579101. The reversal of 13976747579090 is 9097574767931.

13976747579090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a junction number, because it is equal to n+sod(n) for n = 13976747578999 and 13976747579017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2591643434 + ... + 2591648826.

It is an arithmetic number, because the mean of its divisors is an integer number (205458808500).

Almost surely, 2^{13976747579090} is an apocalyptic number.

13976747579090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13976747579090 is a deficient number, since it is larger than the sum of its proper divisors (12321979908910).

13976747579090 is a wasteful number, since it uses less digits than its factorization.

13976747579090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084.

The product of its (nonzero) digits is 630118440, while the sum is 74.

The spelling of 13976747579090 in words is "thirteen trillion, nine hundred seventy-six billion, seven hundred forty-seven million, five hundred seventy-nine thousand, ninety".