13875087058560 has 2048 divisors, whose sum is σ = 66826122854400. Its totient is φ = 2635373740032.

The previous prime is 13875087058517. The next prime is 13875087058631. The reversal of 13875087058560 is 6585078057831.

13875087058560 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 508 + 70 + 5 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 614828397 + ... + 614850963.

It is an arithmetic number, because the mean of its divisors is an integer number (32629942800).

Almost surely, 2^{13875087058560} is an apocalyptic number.

13875087058560 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 13875087058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413061427200).

13875087058560 is an abundant number, since it is smaller than the sum of its proper divisors (52951035795840).

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

13875087058560 is a wasteful number, since it uses less digits than its factorization.

13875087058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22655 (or 22637 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 13875087058560 in words is "thirteen trillion, eight hundred seventy-five billion, eighty-seven million, fifty-eight thousand, five hundred sixty".