13568045875200 has 2160 divisors, whose sum is σ = 55505227688064. Its totient is φ = 3261490790400.

The previous prime is 13568045875199. The next prime is 13568045875243. The reversal of 13568045875200 is 257854086531.

13568045875200 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 0 + 4 + 587 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139876761552 + ... + 139876761648.

Almost surely, 2^{13568045875200} is an apocalyptic number.

13568045875200 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 13568045875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27752613844032).

13568045875200 is an abundant number, since it is smaller than the sum of its proper divisors (41937181812864).

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

13568045875200 is an frugal number, since it uses more digits than its factorization.

13568045875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 13568045875200 in words is "thirteen trillion, five hundred sixty-eight billion, forty-five million, eight hundred seventy-five thousand, two hundred".