16500290582664 has 640 divisors, whose sum is σ = 60070459680000. Its totient is φ = 4203505539072.

The previous prime is 16500290582639. The next prime is 16500290582701. The reversal of 16500290582664 is 46628509200561.

16500290582664 is a `hidden beast` number, since 1 + 6 + 50 + 0 + 2 + 9 + 0 + 582 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16500290582664.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71676354 + ... + 71906190.

It is an arithmetic number, because the mean of its divisors is an integer number (93860093250).

Almost surely, 2^{16500290582664} is an apocalyptic number.

16500290582664 is a gapful number since it is divisible by the number (14) 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 16500290582664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30035229840000).

16500290582664 is an abundant number, since it is smaller than the sum of its proper divisors (43570169097336).

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

16500290582664 is a wasteful number, since it uses less digits than its factorization.

16500290582664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229912 (or 229885 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 16500290582664 in words is "sixteen trillion, five hundred billion, two hundred ninety million, five hundred eighty-two thousand, six hundred sixty-four".