15930697918464 has 672 divisors, whose sum is σ = 54788230748160. Its totient is φ = 4534371975168.

The previous prime is 15930697918451. The next prime is 15930697918523. The reversal of 15930697918464 is 46481979603951.

It is a happy number.

15930697918464 is a `hidden beast` number, since 1 + 5 + 9 + 30 + 69 + 79 + 1 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 15930697918392 and 15930697918401.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2894908737 + ... + 2894914239.

It is an arithmetic number, because the mean of its divisors is an integer number (81530105280).

Almost surely, 2^{15930697918464} is an apocalyptic number.

15930697918464 is a gapful number since it is divisible by the number (14) 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 15930697918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394115374080).

15930697918464 is an abundant number, since it is smaller than the sum of its proper divisors (38857532829696).

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

15930697918464 is an frugal number, since it uses more digits than its factorization.

15930697918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 15930697918464 in words is "fifteen trillion, nine hundred thirty billion, six hundred ninety-seven million, nine hundred eighteen thousand, four hundred sixty-four".