13957538850720 has 192 divisors, whose sum is σ = 48859214826240. Its totient is φ = 3721413878784.

The previous prime is 13957538850659. The next prime is 13957538850721. The reversal of 13957538850720 is 2705883575931.

13957538850720 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 75 + 38 + 8 + 507 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (13957538850721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27033709 + ... + 27545171.

It is an arithmetic number, because the mean of its divisors is an integer number (254475077220).

Almost surely, 2^{13957538850720} is an apocalyptic number.

13957538850720 is a gapful number since it is divisible by the number (10) 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 13957538850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429607413120).

13957538850720 is an abundant number, since it is smaller than the sum of its proper divisors (34901675975520).

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

13957538850720 is a wasteful number, since it uses less digits than its factorization.

13957538850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517804 (or 517790 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 13957538850720 in words is "thirteen trillion, nine hundred fifty-seven billion, five hundred thirty-eight million, eight hundred fifty thousand, seven hundred twenty".