13875900656500 has 24 divisors (see below), whose sum is σ = 30304967034888. Its totient is φ = 5550360262400.

The previous prime is 13875900656447. The next prime is 13875900656509. The reversal of 13875900656500 is 565600957831.

13875900656500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66560904036 + 13809339752464 = 257994^2 + 3716092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875900656509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13875900157 + ... + 13875901156.

It is an arithmetic number, because the mean of its divisors is an integer number (1262706959787).

Almost surely, 2^{13875900656500} is an apocalyptic number.

13875900656500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13875900656500 is an abundant number, since it is smaller than the sum of its proper divisors (16429066378388).

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

13875900656500 is a wasteful number, since it uses less digits than its factorization.

13875900656500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27751801332 (or 27751801320 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 13875900656500 in words is "thirteen trillion, eight hundred seventy-five billion, nine hundred million, six hundred fifty-six thousand, five hundred".