16422749395200 has 864 divisors, whose sum is σ = 63320527226880. Its totient is φ = 4156882329600.

The previous prime is 16422749395189. The next prime is 16422749395243. The reversal of 16422749395200 is 259394722461.

It is a happy number.

16422749395200 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 2 + 7 + 49 + 395 + 200 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520630629 + ... + 520662171.

Almost surely, 2^{16422749395200} is an apocalyptic number.

16422749395200 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 16422749395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31660263613440).

16422749395200 is an abundant number, since it is smaller than the sum of its proper divisors (46897777831680).

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

16422749395200 is a wasteful number, since it uses less digits than its factorization.

16422749395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31732 (or 31707 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 16422749395200 in words is "sixteen trillion, four hundred twenty-two billion, seven hundred forty-nine million, three hundred ninety-five thousand, two hundred".