13859112960 has 1440 divisors, whose sum is σ = 65072367360. Its totient is φ = 2786918400.

The previous prime is 13859112937. The next prime is 13859112989. The reversal of 13859112960 is 6921195831.

13859112960 is a `hidden beast` number, since 1 + 38 + 591 + 1 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447068145 + ... + 447068175.

It is an arithmetic number, because the mean of its divisors is an integer number (45189144).

Almost surely, 2^13859112960 is an apocalyptic number.

13859112960 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 13859112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32536183680).

13859112960 is an abundant number, since it is smaller than the sum of its proper divisors (51213254400).

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

13859112960 is a wasteful number, since it uses less digits than its factorization.

13859112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 13859112960 in words is "thirteen billion, eight hundred fifty-nine million, one hundred twelve thousand, nine hundred sixty".