13787688960 has 624 divisors, whose sum is σ = 52338524160. Its totient is φ = 3344302080.

The previous prime is 13787688953. The next prime is 13787688961. The reversal of 13787688960 is 6988678731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787688961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108564417 + ... + 108564543.

It is an arithmetic number, because the mean of its divisors is an integer number (83875840).

Almost surely, 2^13787688960 is an apocalyptic number.

13787688960 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 13787688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26169262080).

13787688960 is an abundant number, since it is smaller than the sum of its proper divisors (38550835200).

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

13787688960 is a wasteful number, since it uses less digits than its factorization.

13787688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 13787688960 in words is "thirteen billion, seven hundred eighty-seven million, six hundred eighty-eight thousand, nine hundred sixty".