13787005120 has 112 divisors (see below), whose sum is σ = 38534644800. Its totient is φ = 4599189504.

The previous prime is 13787005109. The next prime is 13787005121. The reversal of 13787005120 is 2150078731.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (13787005121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295 + ... + 166054.

Almost surely, 2^13787005120 is an apocalyptic number.

13787005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13787005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267322400).

13787005120 is an abundant number, since it is smaller than the sum of its proper divisors (24747639680).

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

13787005120 is a wasteful number, since it uses less digits than its factorization.

13787005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166410 (or 166400 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 13787005120 in words is "thirteen billion, seven hundred eighty-seven million, five thousand, one hundred twenty".