13901572679904 has 864 divisors, whose sum is σ = 51218848751616. Its totient is φ = 3541354629120.

The previous prime is 13901572679887. The next prime is 13901572679921. The reversal of 13901572679904 is 40997627510931.

13901572679904 is a `hidden beast` number, since 1 + 390 + 157 + 2 + 6 + 7 + 9 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13901572679887) and next prime (13901572679921).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3452089539 + ... + 3452093565.

It is an arithmetic number, because the mean of its divisors is an integer number (59281074944).

Almost surely, 2^{13901572679904} is an apocalyptic number.

13901572679904 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 13901572679904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25609424375808).

13901572679904 is an abundant number, since it is smaller than the sum of its proper divisors (37317276071712).

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

13901572679904 is a wasteful number, since it uses less digits than its factorization.

13901572679904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 13901572679904 in words is "thirteen trillion, nine hundred one billion, five hundred seventy-two million, six hundred seventy-nine thousand, nine hundred four".