13907520000 has 600 divisors, whose sum is σ = 54840820320. Its totient is φ = 3363840000.

The previous prime is 13907519999. The next prime is 13907520013. The reversal of 13907520000 is 2570931.

13907520000 is a `hidden beast` number, since 1 + 390 + 75 + 200 + 0 + 0 = 666.

13907520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×13907520000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31679781 + ... + 31680219.

Almost surely, 2^13907520000 is an apocalyptic number.

13907520000 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 13907520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420410160).

13907520000 is an abundant number, since it is smaller than the sum of its proper divisors (40933300320).

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

13907520000 is an equidigital number, since it uses as much as digits as its factorization.

13907520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 13907520000 in words is "thirteen billion, nine hundred seven million, five hundred twenty thousand".