13573497864960 has 1296 divisors, whose sum is σ = 54998631428832. Its totient is φ = 3064253644800.

The previous prime is 13573497864959. The next prime is 13573497865043. The reversal of 13573497864960 is 6946879437531.

13573497864960 is a `hidden beast` number, since 1 + 3 + 5 + 73 + 497 + 8 + 6 + 4 + 9 + 60 = 666.

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 143 ways as a sum of consecutive naturals, for example, 3552339850 + ... + 3552343670.

Almost surely, 2^{13573497864960} is an apocalyptic number.

13573497864960 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 13573497864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27499315714416).

13573497864960 is an abundant number, since it is smaller than the sum of its proper divisors (41425133563872).

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

13573497864960 is a wasteful number, since it uses less digits than its factorization.

13573497864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 13573497864960 in words is "thirteen trillion, five hundred seventy-three billion, four hundred ninety-seven million, eight hundred sixty-four thousand, nine hundred sixty".