16816875264 has 432 divisors, whose sum is σ = 58659447840. Its totient is φ = 4796983296.

The previous prime is 16816875241. The next prime is 16816875343. The reversal of 16816875264 is 46257861861.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16816875264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433422 + ... + 27434034.

Almost surely, 2^16816875264 is an apocalyptic number.

16816875264 is a gapful number since it is divisible by the number (14) 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 16816875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29329723920).

16816875264 is an abundant number, since it is smaller than the sum of its proper divisors (41842572576).

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

16816875264 is an frugal number, since it uses more digits than its factorization.

16816875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 625 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 16816875264 in words is "sixteen billion, eight hundred sixteen million, eight hundred seventy-five thousand, two hundred sixty-four".