13357852687872 has 960 divisors, whose sum is σ = 50743445068800. Its totient is φ = 3430417858560.

The previous prime is 13357852687867. The next prime is 13357852687889. The reversal of 13357852687872 is 27878625875331.

13357852687872 is a `hidden beast` number, since 1 + 3 + 357 + 8 + 5 + 268 + 7 + 8 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13357852687872.

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, 663141033 + ... + 663161175.

It is an arithmetic number, because the mean of its divisors is an integer number (52857755280).

Almost surely, 2^{13357852687872} is an apocalyptic number.

13357852687872 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 13357852687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25371722534400).

13357852687872 is an abundant number, since it is smaller than the sum of its proper divisors (37385592380928).

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

13357852687872 is a wasteful number, since it uses less digits than its factorization.

13357852687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20284 (or 20255 counting only the distinct ones).

The product of its digits is 948326400, while the sum is 72.

The spelling of 13357852687872 in words is "thirteen trillion, three hundred fifty-seven billion, eight hundred fifty-two million, six hundred eighty-seven thousand, eight hundred seventy-two".