15934980096 has 512 divisors, whose sum is σ = 56370585600. Its totient is φ = 4352901120.

The previous prime is 15934980079. The next prime is 15934980161. The reversal of 15934980096 is 69008943951.

15934980096 is a `hidden beast` number, since 1 + 593 + 49 + 8 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191987671 + ... + 191987753.

It is an arithmetic number, because the mean of its divisors is an integer number (110098800).

Almost surely, 2^15934980096 is an apocalyptic number.

15934980096 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 15934980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185292800).

15934980096 is an abundant number, since it is smaller than the sum of its proper divisors (40435605504).

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

15934980096 is an frugal number, since it uses more digits than its factorization.

15934980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 15934980096 in words is "fifteen billion, nine hundred thirty-four million, nine hundred eighty thousand, ninety-six".