13601613960 has 384 divisors, whose sum is σ = 52193756160. Its totient is φ = 3153427200.

The previous prime is 13601613953. The next prime is 13601613973. The reversal of 13601613960 is 6931610631.

13601613960 is a `hidden beast` number, since 1 + 36 + 0 + 1 + 613 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2456395 + ... + 2461925.

It is an arithmetic number, because the mean of its divisors is an integer number (135921240).

Almost surely, 2^13601613960 is an apocalyptic number.

13601613960 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 13601613960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26096878080).

13601613960 is an abundant number, since it is smaller than the sum of its proper divisors (38592142200).

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

13601613960 is a wasteful number, since it uses less digits than its factorization.

13601613960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13601613960 in words is "thirteen billion, six hundred one million, six hundred thirteen thousand, nine hundred sixty".