16873907248640 has 320 divisors, whose sum is σ = 44254457533440. Its totient is φ = 6132631633920.

The previous prime is 16873907248613. The next prime is 16873907248669. The reversal of 16873907248640 is 4684270937861.

16873907248640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (65).

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, 4305664601 + ... + 4305668519.

It is an arithmetic number, because the mean of its divisors is an integer number (138295179792).

Almost surely, 2^{16873907248640} is an apocalyptic number.

16873907248640 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 16873907248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127228766720).

16873907248640 is an abundant number, since it is smaller than the sum of its proper divisors (27380550284800).

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

16873907248640 is a wasteful number, since it uses less digits than its factorization.

16873907248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 16873907248640 in words is "sixteen trillion, eight hundred seventy-three billion, nine hundred seven million, two hundred forty-eight thousand, six hundred forty".