16094328566400 has 1152 divisors, whose sum is σ = 69080546895360. Its totient is φ = 3623715532800.

The previous prime is 16094328566389. The next prime is 16094328566417. The reversal of 16094328566400 is 466582349061.

16094328566400 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 4 + 32 + 8 + 566 + 40 + 0 = 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 (54).

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, 364672335 + ... + 364716465.

Almost surely, 2^{16094328566400} is an apocalyptic number.

16094328566400 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 16094328566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34540273447680).

16094328566400 is an abundant number, since it is smaller than the sum of its proper divisors (52986218328960).

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

16094328566400 is an equidigital number, since it uses as much as digits as its factorization.

16094328566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44244 (or 44215 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 16094328566400 in words is "sixteen trillion, ninety-four billion, three hundred twenty-eight million, five hundred sixty-six thousand, four hundred".