16564253120 has 56 divisors (see below), whose sum is σ = 39584211408. Its totient is φ = 6602086400.

The previous prime is 16564253119. The next prime is 16564253149. The reversal of 16564253120 is 2135246561.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2186 + ... + 182025.

It is an arithmetic number, because the mean of its divisors is an integer number (706860918).

Almost surely, 2^16564253120 is an apocalyptic number.

16564253120 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 16564253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792105704).

16564253120 is an abundant number, since it is smaller than the sum of its proper divisors (23019958288).

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

16564253120 is a wasteful number, since it uses less digits than its factorization.

16564253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184509 (or 184499 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 16564253120 its reverse (2135246561), we get a palindrome (18699499681).

The spelling of 16564253120 in words is "sixteen billion, five hundred sixty-four million, two hundred fifty-three thousand, one hundred twenty".