16319976422400 has 1584 divisors, whose sum is σ = 70048974078720. Its totient is φ = 3687491174400.

The previous prime is 16319976422293. The next prime is 16319976422437. The reversal of 16319976422400 is 422467991361.

16319976422400 is a `hidden beast` number, since 1 + 6 + 3 + 199 + 7 + 6 + 42 + 2 + 400 = 666.

16319976422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3875556295 + ... + 3875560505.

Almost surely, 2^{16319976422400} is an apocalyptic number.

16319976422400 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 16319976422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35024487039360).

16319976422400 is an abundant number, since it is smaller than the sum of its proper divisors (53728997656320).

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

16319976422400 is an equidigital number, since it uses as much as digits as its factorization.

16319976422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 16319976422400 in words is "sixteen trillion, three hundred nineteen billion, nine hundred seventy-six million, four hundred twenty-two thousand, four hundred".