16658401507680 has 192 divisors, whose sum is σ = 55566998101440. Its totient is φ = 4180455849984.

The previous prime is 16658401507673. The next prime is 16658401507717. The reversal of 16658401507680 is 8670510485661.

It is a super-3 number, since 3×16658401507680³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16658401507680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74446206 + ... + 74669634.

It is an arithmetic number, because the mean of its divisors is an integer number (289411448445).

Almost surely, 2^{16658401507680} is an apocalyptic number.

16658401507680 is a gapful number since it is divisible by the number (10) 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 16658401507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27783499050720).

16658401507680 is an abundant number, since it is smaller than the sum of its proper divisors (38908596593760).

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

16658401507680 is a wasteful number, since it uses less digits than its factorization.

16658401507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232601 (or 232593 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 16658401507680 in words is "sixteen trillion, six hundred fifty-eight billion, four hundred one million, five hundred seven thousand, six hundred eighty".