13879630080 has 432 divisors, whose sum is σ = 49436674560. Its totient is φ = 3594240000.

The previous prime is 13879630033. The next prime is 13879630099. The reversal of 13879630080 is 8003697831.

It is a happy number.

13879630080 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 9 + 630 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91918005 + ... + 91918155.

Almost surely, 2^13879630080 is an apocalyptic number.

13879630080 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 13879630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24718337280).

13879630080 is an abundant number, since it is smaller than the sum of its proper divisors (35557044480).

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

13879630080 is a wasteful number, since it uses less digits than its factorization.

13879630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13879630080 in words is "thirteen billion, eight hundred seventy-nine million, six hundred thirty thousand, eighty".