15613424386560 has 6400 divisors, whose sum is σ = 81931116072960. Its totient is φ = 2734683586560.

The previous prime is 15613424386531. The next prime is 15613424386619. The reversal of 15613424386560 is 6568342431651.

15613424386560 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 3 + 42 + 4 + 38 + 6 + 560 = 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 = 15613424386497 and 15613424386506.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 145919854027 + ... + 145919854133.

Almost surely, 2^{15613424386560} is an apocalyptic number.

15613424386560 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 15613424386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965558036480).

15613424386560 is an abundant number, since it is smaller than the sum of its proper divisors (66317691686400).

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

15613424386560 is a wasteful number, since it uses less digits than its factorization.

15613424386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 15613424386560 in words is "fifteen trillion, six hundred thirteen billion, four hundred twenty-four million, three hundred eighty-six thousand, five hundred sixty".