16564002015072 has 48 divisors (see below), whose sum is σ = 43480815178752. Its totient is φ = 5521294654080.

The previous prime is 16564002015047. The next prime is 16564002015073. The reversal of 16564002015072 is 27051020046561.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16564002015072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16564002015073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14972497 + ... + 16040687.

It is an arithmetic number, because the mean of its divisors is an integer number (905850316224).

Almost surely, 2^{16564002015072} is an apocalyptic number.

16564002015072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16564002015072 is an abundant number, since it is smaller than the sum of its proper divisors (26916813163680).

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

16564002015072 is a wasteful number, since it uses less digits than its factorization.

16564002015072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229731 (or 1229723 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 16564002015072 in words is "sixteen trillion, five hundred sixty-four billion, two million, fifteen thousand, seventy-two".