15705664016 has 80 divisors (see below), whose sum is σ = 35736129408. Its totient is φ = 6546355200.

The previous prime is 15705664003. The next prime is 15705664063. The reversal of 15705664016 is 61046650751.

It is a super-3 number, since 3×15705664016³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514786 + ... + 1525118.

Almost surely, 2^15705664016 is an apocalyptic number.

15705664016 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 15705664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868064704).

15705664016 is an abundant number, since it is smaller than the sum of its proper divisors (20030465392).

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

15705664016 is a wasteful number, since it uses less digits than its factorization.

15705664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 15705664016 in words is "fifteen billion, seven hundred five million, six hundred sixty-four thousand, sixteen".