13257614400 has 84 divisors (see below), whose sum is σ = 43496038992. Its totient is φ = 3535362560.

The previous prime is 13257614399. The next prime is 13257614423. The reversal of 13257614400 is 441675231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1376202 + ... + 1385801.

It is an arithmetic number, because the mean of its divisors is an integer number (517809988).

Almost surely, 2^13257614400 is an apocalyptic number.

13257614400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13257614400 is an abundant number, since it is smaller than the sum of its proper divisors (30238424592).

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

13257614400 is a wasteful number, since it uses less digits than its factorization.

13257614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762028 (or 2762013 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13257614400 in words is "thirteen billion, two hundred fifty-seven million, six hundred fourteen thousand, four hundred".