16008451200 has 1152 divisors, whose sum is σ = 72096635520. Its totient is φ = 3423928320.

The previous prime is 16008451171. The next prime is 16008451213. The reversal of 16008451200 is 215480061.

16008451200 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 8 + 451 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92534314 + ... + 92534486.

It is an arithmetic number, because the mean of its divisors is an integer number (62583885).

Almost surely, 2^16008451200 is an apocalyptic number.

16008451200 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 16008451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36048317760).

16008451200 is an abundant number, since it is smaller than the sum of its proper divisors (56088184320).

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

16008451200 is a wasteful number, since it uses less digits than its factorization.

16008451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 16008451200 in words is "sixteen billion, eight million, four hundred fifty-one thousand, two hundred".