16880399585280 has 4992 divisors, whose sum is σ = 82433175552000. Its totient is φ = 3277416038400.

The previous prime is 16880399585263. The next prime is 16880399585317. The reversal of 16880399585280 is 8258599308861.

16880399585280 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 0 + 3 + 9 + 95 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16880399585199 and 16880399585208.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 544529018865 + ... + 544529018895.

It is an arithmetic number, because the mean of its divisors is an integer number (16513056000).

Almost surely, 2^{16880399585280} is an apocalyptic number.

16880399585280 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 16880399585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41216587776000).

16880399585280 is an abundant number, since it is smaller than the sum of its proper divisors (65552775966720).

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

16880399585280 is an equidigital number, since it uses as much as digits as its factorization.

16880399585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 16880399585280 in words is "sixteen trillion, eight hundred eighty billion, three hundred ninety-nine million, five hundred eighty-five thousand, two hundred eighty".