13953702597120 has 960 divisors, whose sum is σ = 56829639170304. Its totient is φ = 3119455272960.

The previous prime is 13953702597061. The next prime is 13953702597137. The reversal of 13953702597120 is 2179520735931.

It is a happy number.

13953702597120 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 37 + 0 + 2 + 597 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6085346694 + ... + 6085348986.

Almost surely, 2^{13953702597120} is an apocalyptic number.

13953702597120 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 13953702597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28414819585152).

13953702597120 is an abundant number, since it is smaller than the sum of its proper divisors (42875936573184).

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

13953702597120 is a wasteful number, since it uses less digits than its factorization.

13953702597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 13953702597120 in words is "thirteen trillion, nine hundred fifty-three billion, seven hundred two million, five hundred ninety-seven thousand, one hundred twenty".