16564002017040 has 120 divisors (see below), whose sum is σ = 55634333203800. Its totient is φ = 4416519862272.

The previous prime is 16564002017033. The next prime is 16564002017081. The reversal of 16564002017040 is 4071020046561.

16564002017040 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 400 + 201 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157224938256 + 16406777078784 = 396516^2 + 4050528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16564002016986 and 16564002017004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4405636 + ... + 7248284.

It is an arithmetic number, because the mean of its divisors is an integer number (463619443365).

Almost surely, 2^{16564002017040} is an apocalyptic number.

16564002017040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16564002017040 is an abundant number, since it is smaller than the sum of its proper divisors (39070331186760).

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

16564002017040 is a wasteful number, since it uses less digits than its factorization.

16564002017040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850761 (or 2850752 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16564002017040 in words is "sixteen trillion, five hundred sixty-four billion, two million, seventeen thousand, forty".