13987179360 has 576 divisors, whose sum is σ = 62135216640. Its totient is φ = 2905943040.

The previous prime is 13987179329. The next prime is 13987179373. The reversal of 13987179360 is 6397178931.

13987179360 is a `hidden beast` number, since 1 + 39 + 87 + 179 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13987179297 and 13987179306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2325477 + ... + 2331483.

It is an arithmetic number, because the mean of its divisors is an integer number (107873640).

Almost surely, 2^13987179360 is an apocalyptic number.

13987179360 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 13987179360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31067608320).

13987179360 is an abundant number, since it is smaller than the sum of its proper divisors (48148037280).

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

13987179360 is a wasteful number, since it uses less digits than its factorization.

13987179360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 13987179360 in words is "thirteen billion, nine hundred eighty-seven million, one hundred seventy-nine thousand, three hundred sixty".