13520937960 has 448 divisors, whose sum is σ = 48161952000. Its totient is φ = 3409620480.

The previous prime is 13520937949. The next prime is 13520938091. The reversal of 13520937960 is 6973902531.

13520937960 is a `hidden beast` number, since 1 + 3 + 520 + 9 + 37 + 96 + 0 = 666.

13520937960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 49892625 + ... + 49892895.

Almost surely, 2^13520937960 is an apocalyptic number.

13520937960 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 13520937960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080976000).

13520937960 is an abundant number, since it is smaller than the sum of its proper divisors (34641014040).

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

13520937960 is a wasteful number, since it uses less digits than its factorization.

13520937960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 13520937960 in words is "thirteen billion, five hundred twenty million, nine hundred thirty-seven thousand, nine hundred sixty".