13390610675904 has 1176 divisors, whose sum is σ = 50696993173248. Its totient is φ = 3468485422080.

The previous prime is 13390610675903. The next prime is 13390610675921. The reversal of 13390610675904 is 40957601609331.

13390610675904 is a `hidden beast` number, since 1 + 3 + 39 + 0 + 6 + 10 + 6 + 7 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390610675903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16270486437 + ... + 16270487259.

Almost surely, 2^{13390610675904} is an apocalyptic number.

13390610675904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13390610675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25348496586624).

13390610675904 is an abundant number, since it is smaller than the sum of its proper divisors (37306382497344).

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

13390610675904 is an equidigital number, since it uses as much as digits as its factorization.

13390610675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 13390610675904 in words is "thirteen trillion, three hundred ninety billion, six hundred ten million, six hundred seventy-five thousand, nine hundred four".