16925368320 has 504 divisors, whose sum is σ = 68322811284. Its totient is φ = 3864526848.

The previous prime is 16925368303. The next prime is 16925368349. The reversal of 16925368320 is 2386352961.

16925368320 is a `hidden beast` number, since 1 + 6 + 92 + 536 + 8 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14958268416 + 1967099904 = 122304^2 + 44352^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18062892 + ... + 18063828.

Almost surely, 2^16925368320 is an apocalyptic number.

16925368320 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 16925368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34161405642).

16925368320 is an abundant number, since it is smaller than the sum of its proper divisors (51397442964).

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

16925368320 is an equidigital number, since it uses as much as digits as its factorization.

16925368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16925368320 in words is "sixteen billion, nine hundred twenty-five million, three hundred sixty-eight thousand, three hundred twenty".