13787928800 has 72 divisors (see below), whose sum is σ = 34294976856. Its totient is φ = 5411095040.

The previous prime is 13787928799. The next prime is 13787928811. The reversal of 13787928800 is 882978731.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 120194 + ... + 204993.

It is an arithmetic number, because the mean of its divisors is an integer number (476319123).

Almost surely, 2^13787928800 is an apocalyptic number.

13787928800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13787928800 is an abundant number, since it is smaller than the sum of its proper divisors (20507048056).

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

13787928800 is a wasteful number, since it uses less digits than its factorization.

13787928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325260 (or 325247 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 13787928800 in words is "thirteen billion, seven hundred eighty-seven million, nine hundred twenty-eight thousand, eight hundred".