13768057200 has 60 divisors (see below), whose sum is σ = 44103680408. Its totient is φ = 3671481600.

The previous prime is 13768057157. The next prime is 13768057201. The reversal of 13768057200 is 275086731.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768057201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5735491 + ... + 5737890.

Almost surely, 2^13768057200 is an apocalyptic number.

13768057200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768057200 is an abundant number, since it is smaller than the sum of its proper divisors (30335623208).

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

13768057200 is a wasteful number, since it uses less digits than its factorization.

13768057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11473402 (or 11473391 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 13768057200 in words is "thirteen billion, seven hundred sixty-eight million, fifty-seven thousand, two hundred".