16409965572 has 432 divisors, whose sum is σ = 58473612288. Its totient is φ = 3760922880.

The previous prime is 16409965511. The next prime is 16409965631. The reversal of 16409965572 is 27556990461.

16409965572 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 9 + 65 + 572 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10774003 + ... + 10775525.

It is an arithmetic number, because the mean of its divisors is an integer number (135355584).

Almost surely, 2^16409965572 is an apocalyptic number.

16409965572 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 16409965572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29236806144).

16409965572 is an abundant number, since it is smaller than the sum of its proper divisors (42063646716).

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

16409965572 is a wasteful number, since it uses less digits than its factorization.

16409965572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 16409965572 in words is "sixteen billion, four hundred nine million, nine hundred sixty-five thousand, five hundred seventy-two".