16397251200 has 864 divisors, whose sum is σ = 67213242720. Its totient is φ = 3919104000.

The previous prime is 16397251183. The next prime is 16397251223. The reversal of 16397251200 is 215279361.

16397251200 is a `hidden beast` number, since 1 + 639 + 7 + 2 + 5 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 230947165 + ... + 230947235.

It is an arithmetic number, because the mean of its divisors is an integer number (77793105).

Almost surely, 2^16397251200 is an apocalyptic number.

16397251200 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 16397251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33606621360).

16397251200 is an abundant number, since it is smaller than the sum of its proper divisors (50815991520).

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

16397251200 is an frugal number, since it uses more digits than its factorization.

16397251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 16397251200 in words is "sixteen billion, three hundred ninety-seven million, two hundred fifty-one thousand, two hundred".