16251520320 has 672 divisors, whose sum is σ = 69633388800. Its totient is φ = 3550998528.

The previous prime is 16251520301. The next prime is 16251520349. The reversal of 16251520320 is 2302515261.

It is a happy number.

16251520320 is a `hidden beast` number, since 1 + 62 + 51 + 520 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16251520320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9736446 + ... + 9738114.

Almost surely, 2^16251520320 is an apocalyptic number.

16251520320 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 16251520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34816694400).

16251520320 is an abundant number, since it is smaller than the sum of its proper divisors (53381868480).

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

16251520320 is a wasteful number, since it uses less digits than its factorization.

16251520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 16251520320 in words is "sixteen billion, two hundred fifty-one million, five hundred twenty thousand, three hundred twenty".