16830361880640 has 1344 divisors, whose sum is σ = 75508704821760. Its totient is φ = 3497094881280.

The previous prime is 16830361880639. The next prime is 16830361880701. The reversal of 16830361880640 is 4608816303861.

16830361880640 is a `hidden beast` number, since 16 + 8 + 3 + 0 + 3 + 618 + 8 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×16830361880640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592750284 + ... + 592778676.

It is an arithmetic number, because the mean of its divisors is an integer number (56182072040).

Almost surely, 2^{16830361880640} is an apocalyptic number.

16830361880640 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 16830361880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37754352410880).

16830361880640 is an abundant number, since it is smaller than the sum of its proper divisors (58678342941120).

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

16830361880640 is an equidigital number, since it uses as much as digits as its factorization.

16830361880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28460 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 16830361880640 in words is "sixteen trillion, eight hundred thirty billion, three hundred sixty-one million, eight hundred eighty thousand, six hundred forty".