13887100080 has 1280 divisors, whose sum is σ = 63253094400. Its totient is φ = 2759049216.

The previous prime is 13887100067. The next prime is 13887100081. The reversal of 13887100080 is 8000178831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13887100081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 478865506 + ... + 478865534.

It is an arithmetic number, because the mean of its divisors is an integer number (49416480).

Almost surely, 2^13887100080 is an apocalyptic number.

13887100080 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 13887100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31626547200).

13887100080 is an abundant number, since it is smaller than the sum of its proper divisors (49365994320).

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

13887100080 is a wasteful number, since it uses less digits than its factorization.

13887100080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 13887100080 in words is "thirteen billion, eight hundred eighty-seven million, one hundred thousand, eighty".