13959199182960 has 240 divisors, whose sum is σ = 49901458557600. Its totient is φ = 3486910242816.

The previous prime is 13959199182923. The next prime is 13959199182983. The reversal of 13959199182960 is 6928199195931.

13959199182960 is a `hidden beast` number, since 1 + 3 + 9 + 591 + 9 + 9 + 1 + 8 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13959199182960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4515117 + ... + 6950156.

It is an arithmetic number, because the mean of its divisors is an integer number (207922743990).

Almost surely, 2^{13959199182960} is an apocalyptic number.

13959199182960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13959199182960 is an abundant number, since it is smaller than the sum of its proper divisors (35942259374640).

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

13959199182960 is a wasteful number, since it uses less digits than its factorization.

13959199182960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11465400 (or 11465391 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 72.

The spelling of 13959199182960 in words is "thirteen trillion, nine hundred fifty-nine billion, one hundred ninety-nine million, one hundred eighty-two thousand, nine hundred sixty".