16564054080 has 672 divisors, whose sum is σ = 66047477760. Its totient is φ = 3495260160.

The previous prime is 16564054051. The next prime is 16564054093. The reversal of 16564054080 is 8045046561.

It is a happy number.

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

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, 38431465 + ... + 38431895.

Almost surely, 2^16564054080 is an apocalyptic number.

16564054080 is a gapful number since it is divisible by the number (10) 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 16564054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33023738880).

16564054080 is an abundant number, since it is smaller than the sum of its proper divisors (49483423680).

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

16564054080 is a wasteful number, since it uses less digits than its factorization.

16564054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 16564054080 in words is "sixteen billion, five hundred sixty-four million, fifty-four thousand, eighty".