13876894080 has 672 divisors, whose sum is σ = 57954882240. Its totient is φ = 3166636032.

The previous prime is 13876894039. The next prime is 13876894099. The reversal of 13876894080 is 8049867831.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861137 + ... + 22861743.

Almost surely, 2^13876894080 is an apocalyptic number.

13876894080 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 13876894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977441120).

13876894080 is an abundant number, since it is smaller than the sum of its proper divisors (44077988160).

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

13876894080 is an frugal number, since it uses more digits than its factorization.

13876894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 13876894080 in words is "thirteen billion, eight hundred seventy-six million, eight hundred ninety-four thousand, eighty".