13708735553520 has 480 divisors, whose sum is σ = 54331748450304. Its totient is φ = 3031283865600.

The previous prime is 13708735553497. The next prime is 13708735553537. The reversal of 13708735553520 is 2535553780731.

13708735553520 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 8 + 7 + 35 + 553 + 52 + 0 = 666.

13708735553520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 496985649 + ... + 497013231.

Almost surely, 2^{13708735553520} is an apocalyptic number.

13708735553520 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 13708735553520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27165874225152).

13708735553520 is an abundant number, since it is smaller than the sum of its proper divisors (40623012896784).

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

13708735553520 is a wasteful number, since it uses less digits than its factorization.

13708735553520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30821 (or 30812 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 13708735553520 in words is "thirteen trillion, seven hundred eight billion, seven hundred thirty-five million, five hundred fifty-three thousand, five hundred twenty".