13607569920 has 320 divisors, whose sum is σ = 51067374336. Its totient is φ = 3025797120.

The previous prime is 13607569901. The next prime is 13607570003. The reversal of 13607569920 is 2996570631.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13607569920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985700 + ... + 1992540.

Almost surely, 2^13607569920 is an apocalyptic number.

13607569920 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 13607569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25533687168).

13607569920 is an abundant number, since it is smaller than the sum of its proper divisors (37459804416).

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

13607569920 is an equidigital number, since it uses as much as digits as its factorization.

13607569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 13607569920 in words is "thirteen billion, six hundred seven million, five hundred sixty-nine thousand, nine hundred twenty".