16445056320 has 896 divisors, whose sum is σ = 76195123200. Its totient is φ = 3234816000.

The previous prime is 16445056283. The next prime is 16445056333. The reversal of 16445056320 is 2365054461.

16445056320 is a `hidden beast` number, since 1 + 6 + 44 + 50 + 563 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12639670 + ... + 12640970.

It is an arithmetic number, because the mean of its divisors is an integer number (85039200).

Almost surely, 2^16445056320 is an apocalyptic number.

16445056320 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 16445056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38097561600).

16445056320 is an abundant number, since it is smaller than the sum of its proper divisors (59750066880).

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

16445056320 is a wasteful number, since it uses less digits than its factorization.

16445056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 16445056320 in words is "sixteen billion, four hundred forty-five million, fifty-six thousand, three hundred twenty".