16397107200 has 360 divisors, whose sum is σ = 59160601500. Its totient is φ = 4341104640.

The previous prime is 16397107157. The next prime is 16397107213. The reversal of 16397107200 is 270179361.

It is a happy number.

16397107200 is a `hidden beast` number, since 1 + 639 + 7 + 10 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 17 ways as a sum of consecutive naturals, for example, 117964731 + ... + 117964869.

Almost surely, 2^16397107200 is an apocalyptic number.

16397107200 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 16397107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29580300750).

16397107200 is an abundant number, since it is smaller than the sum of its proper divisors (42763494300).

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

16397107200 is an frugal number, since it uses more digits than its factorization.

16397107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 16397107200 in words is "sixteen billion, three hundred ninety-seven million, one hundred seven thousand, two hundred".