16565405472 has 768 divisors, whose sum is σ = 64865525760. Its totient is φ = 3981312000.

The previous prime is 16565405471. The next prime is 16565405503. The reversal of 16565405472 is 27450456561.

16565405472 is a `hidden beast` number, since 1 + 6 + 5 + 65 + 40 + 547 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16565405471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109704597 + ... + 109704747.

It is an arithmetic number, because the mean of its divisors is an integer number (84460320).

Almost surely, 2^16565405472 is an apocalyptic number.

16565405472 is a gapful number since it is divisible by the number (12) 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 16565405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432762880).

16565405472 is an abundant number, since it is smaller than the sum of its proper divisors (48300120288).

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

16565405472 is a wasteful number, since it uses less digits than its factorization.

16565405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 16565405472 in words is "sixteen billion, five hundred sixty-five million, four hundred five thousand, four hundred seventy-two".