15956866464 has 288 divisors, whose sum is σ = 53365132800. Its totient is φ = 4128284160.

The previous prime is 15956866433. The next prime is 15956866481. The reversal of 15956866464 is 46466865951.

It is a junction number, because it is equal to n+sod(n) for n = 15956866398 and 15956866407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18575667 + ... + 18576525.

It is an arithmetic number, because the mean of its divisors is an integer number (185295600).

Almost surely, 2^15956866464 is an apocalyptic number.

15956866464 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 15956866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26682566400).

15956866464 is an abundant number, since it is smaller than the sum of its proper divisors (37408266336).

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

15956866464 is a wasteful number, since it uses less digits than its factorization.

15956866464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1241 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 15956866464 in words is "fifteen billion, nine hundred fifty-six million, eight hundred sixty-six thousand, four hundred sixty-four".