13514895993960 has 256 divisors, whose sum is σ = 45545542963200. Its totient is φ = 3564352512000.

The previous prime is 13514895993941. The next prime is 13514895993971. The reversal of 13514895993960 is 6939959841531.

13514895993960 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 489 + 59 + 9 + 3 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154058110 + ... + 154145810.

It is an arithmetic number, because the mean of its divisors is an integer number (177912277200).

Almost surely, 2^{13514895993960} is an apocalyptic number.

13514895993960 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 13514895993960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22772771481600).

13514895993960 is an abundant number, since it is smaller than the sum of its proper divisors (32030646969240).

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

13514895993960 is a wasteful number, since it uses less digits than its factorization.

13514895993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89289 (or 89279 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 13514895993960 in words is "thirteen trillion, five hundred fourteen billion, eight hundred ninety-five million, nine hundred ninety-three thousand, nine hundred sixty".