16322131876800 has 336 divisors, whose sum is σ = 53858840313600. Its totient is φ = 4327514357760.

The previous prime is 16322131876711. The next prime is 16322131876837. The reversal of 16322131876800 is 867813122361.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16322131876800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1483420099 + ... + 1483431101.

It is an arithmetic number, because the mean of its divisors is an integer number (160294167600).

Almost surely, 2^{16322131876800} is an apocalyptic number.

16322131876800 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 16322131876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26929420156800).

16322131876800 is an abundant number, since it is smaller than the sum of its proper divisors (37536708436800).

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

16322131876800 is a wasteful number, since it uses less digits than its factorization.

16322131876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 16322131876800 in words is "sixteen trillion, three hundred twenty-two billion, one hundred thirty-one million, eight hundred seventy-six thousand, eight hundred".