13120615872 has 672 divisors, whose sum is σ = 49041620992. Its totient is φ = 3386105856.

The previous prime is 13120615789. The next prime is 13120615883. The reversal of 13120615872 is 27851602131.

13120615872 is a `hidden beast` number, since 1 + 3 + 12 + 0 + 61 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 103311873 + ... + 103311999.

Almost surely, 2^13120615872 is an apocalyptic number.

13120615872 is a gapful number since it is divisible by the number (12) 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 13120615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520810496).

13120615872 is an abundant number, since it is smaller than the sum of its proper divisors (35921005120).

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

13120615872 is a wasteful number, since it uses less digits than its factorization.

13120615872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13120615872 in words is "thirteen billion, one hundred twenty million, six hundred fifteen thousand, eight hundred seventy-two".