15616505106096 has 160 divisors (see below), whose sum is σ = 41122632744960. Its totient is φ = 5105755130112.

The previous prime is 15616505106091. The next prime is 15616505106193. The reversal of 15616505106096 is 69060150561651.

It is a super-2 number, since 2×15616505106096² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15616505106091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831414185 + ... + 1831422711.

It is an arithmetic number, because the mean of its divisors is an integer number (257016454656).

Almost surely, 2^{15616505106096} is an apocalyptic number.

15616505106096 is a gapful number since it is divisible by the number (16) 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 15616505106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561316372480).

15616505106096 is an abundant number, since it is smaller than the sum of its proper divisors (25506127638864).

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

15616505106096 is a wasteful number, since it uses less digits than its factorization.

15616505106096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 51.

The spelling of 15616505106096 in words is "fifteen trillion, six hundred sixteen billion, five hundred five million, one hundred six thousand, ninety-six".