13787268900 has 72 divisors (see below), whose sum is σ = 39903383520. Its totient is φ = 3675479040.

The previous prime is 13787268899. The next prime is 13787268919. The reversal of 13787268900 is 986278731.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539636 + ... + 1548564.

It is an arithmetic number, because the mean of its divisors is an integer number (554213660).

Almost surely, 2^13787268900 is an apocalyptic number.

13787268900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13787268900 is an abundant number, since it is smaller than the sum of its proper divisors (26116114620).

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

13787268900 is a wasteful number, since it uses less digits than its factorization.

13787268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093 (or 14086 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 13787268900 in words is "thirteen billion, seven hundred eighty-seven million, two hundred sixty-eight thousand, nine hundred".