13915078560 has 384 divisors, whose sum is σ = 50249445120. Its totient is φ = 3594240000.

The previous prime is 13915078543. The next prime is 13915078579. The reversal of 13915078560 is 6587051931.

It is a happy number.

13915078560 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 507 + 85 + 60 = 666.

It is a super-2 number, since 2×13915078560² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 44456964 + ... + 44457276.

It is an arithmetic number, because the mean of its divisors is an integer number (130857930).

Almost surely, 2^13915078560 is an apocalyptic number.

13915078560 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 13915078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25124722560).

13915078560 is an abundant number, since it is smaller than the sum of its proper divisors (36334366560).

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

13915078560 is a wasteful number, since it uses less digits than its factorization.

13915078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 13915078560 in words is "thirteen billion, nine hundred fifteen million, seventy-eight thousand, five hundred sixty".