13995659160 has 768 divisors, whose sum is σ = 58226688000. Its totient is φ = 2842076160.

The previous prime is 13995659149. The next prime is 13995659189. The reversal of 13995659160 is 6195659931.

It is a happy number.

13995659160 is a `hidden beast` number, since 13 + 9 + 9 + 565 + 9 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13995659097 and 13995659106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78187951 + ... + 78188129.

It is an arithmetic number, because the mean of its divisors is an integer number (75816000).

Almost surely, 2^13995659160 is an apocalyptic number.

13995659160 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 13995659160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113344000).

13995659160 is an abundant number, since it is smaller than the sum of its proper divisors (44231028840).

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

13995659160 is a wasteful number, since it uses less digits than its factorization.

13995659160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 13995659160 in words is "thirteen billion, nine hundred ninety-five million, six hundred fifty-nine thousand, one hundred sixty".