16275916800 has 1296 divisors, whose sum is σ = 72480517200. Its totient is φ = 3450470400.

The previous prime is 16275916753. The next prime is 16275916801. The reversal of 16275916800 is 861957261.

16275916800 is a `hidden beast` number, since 1 + 627 + 5 + 9 + 16 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16275916801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 856627191 + ... + 856627209.

It is an arithmetic number, because the mean of its divisors is an integer number (55926325).

Almost surely, 2^16275916800 is an apocalyptic number.

16275916800 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 16275916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240258600).

16275916800 is an abundant number, since it is smaller than the sum of its proper divisors (56204600400).

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

16275916800 is a wasteful number, since it uses less digits than its factorization.

16275916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 16275916800 in words is "sixteen billion, two hundred seventy-five million, nine hundred sixteen thousand, eight hundred".