13875505643520 has 180 divisors, whose sum is σ = 48100287504360. Its totient is φ = 3700134641664.

The previous prime is 13875505643507. The next prime is 13875505643599. The reversal of 13875505643520 is 2534650557831.

13875505643520 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 50 + 5 + 64 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8672650 + ... + 10147209.

Almost surely, 2^{13875505643520} is an apocalyptic number.

13875505643520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13875505643520 is an abundant number, since it is smaller than the sum of its proper divisors (34224781860840).

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

13875505643520 is an equidigital number, since it uses as much as digits as its factorization.

13875505643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18819898 (or 18819869 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 13875505643520 in words is "thirteen trillion, eight hundred seventy-five billion, five hundred five million, six hundred forty-three thousand, five hundred twenty".