15905615616 has 864 divisors, whose sum is σ = 58543430400. Its totient is φ = 4087480320.

The previous prime is 15905615581. The next prime is 15905615629. The reversal of 15905615616 is 61651650951.

15905615616 is a `hidden beast` number, since 1 + 590 + 5 + 6 + 1 + 56 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237397215 + ... + 237397281.

It is an arithmetic number, because the mean of its divisors is an integer number (67758600).

Almost surely, 2^15905615616 is an apocalyptic number.

15905615616 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 15905615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29271715200).

15905615616 is an abundant number, since it is smaller than the sum of its proper divisors (42637814784).

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

15905615616 is a wasteful number, since it uses less digits than its factorization.

15905615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 15905615616 in words is "fifteen billion, nine hundred five million, six hundred fifteen thousand, six hundred sixteen".