16112529538560 has 2880 divisors, whose sum is σ = 73620214379712. Its totient is φ = 3346977521664.

The previous prime is 16112529538559. The next prime is 16112529538579. The reversal of 16112529538560 is 6583592521161.

16112529538560 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 2 + 5 + 29 + 53 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×16112529538560² (a number of 27 digits) contains 22 as substring.

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 = 16112529538497 and 16112529538506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28927341802 + ... + 28927342358.

Almost surely, 2^{16112529538560} is an apocalyptic number.

16112529538560 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 16112529538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810107189856).

16112529538560 is an abundant number, since it is smaller than the sum of its proper divisors (57507684841152).

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

16112529538560 is an equidigital number, since it uses as much as digits as its factorization.

16112529538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 16112529538560 in words is "sixteen trillion, one hundred twelve billion, five hundred twenty-nine million, five hundred thirty-eight thousand, five hundred sixty".