16807979520 has 480 divisors, whose sum is σ = 61932911040. Its totient is φ = 4366172160.

The previous prime is 16807979477. The next prime is 16807979527. The reversal of 16807979520 is 2597970861.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (16807979527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25504951 + ... + 25505609.

It is an arithmetic number, because the mean of its divisors is an integer number (129026898).

Almost surely, 2^16807979520 is an apocalyptic number.

16807979520 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 16807979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30966455520).

16807979520 is an abundant number, since it is smaller than the sum of its proper divisors (45124931520).

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

16807979520 is an frugal number, since it uses more digits than its factorization.

16807979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 16807979520 in words is "sixteen billion, eight hundred seven million, nine hundred seventy-nine thousand, five hundred twenty".