13920157696896 has 384 divisors, whose sum is σ = 47584294992000. Its totient is φ = 3858414981120.

The previous prime is 13920157696889. The next prime is 13920157696903. The reversal of 13920157696896 is 69869675102931.

13920157696896 is a `hidden beast` number, since 1 + 392 + 0 + 1 + 5 + 76 + 96 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13920157696889) and next prime (13920157696903).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5985451 + ... + 7979093.

It is an arithmetic number, because the mean of its divisors is an integer number (123917434875).

Almost surely, 2^{13920157696896} is an apocalyptic number.

13920157696896 is a gapful number since it is divisible by the number (16) 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 13920157696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792147496000).

13920157696896 is an abundant number, since it is smaller than the sum of its proper divisors (33664137295104).

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

13920157696896 is a wasteful number, since it uses less digits than its factorization.

13920157696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993722 (or 1993707 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 13920157696896 in words is "thirteen trillion, nine hundred twenty billion, one hundred fifty-seven million, six hundred ninety-six thousand, eight hundred ninety-six".