16972500240384 has 384 divisors, whose sum is σ = 51335978803200. Its totient is φ = 4943435857920.

The previous prime is 16972500240379. The next prime is 16972500240407. The reversal of 16972500240384 is 48304200527961.

16972500240384 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 (384).

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, 2232338727 + ... + 2232346329.

It is an arithmetic number, because the mean of its divisors is an integer number (133687444800).

It is a 1-persistent number, because it is pandigital, but 2⋅16972500240384 = 33945000480768 is not.

Almost surely, 2^{16972500240384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16972500240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667989401600).

16972500240384 is an abundant number, since it is smaller than the sum of its proper divisors (34363478562816).

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

16972500240384 is a wasteful number, since it uses less digits than its factorization.

16972500240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 16972500240384 in words is "sixteen trillion, nine hundred seventy-two billion, five hundred million, two hundred forty thousand, three hundred eighty-four".