16222809398400 has 576 divisors, whose sum is σ = 66472792120800. Its totient is φ = 3725811302400.

The previous prime is 16222809398387. The next prime is 16222809398429. The reversal of 16222809398400 is 489390822261.

16222809398400 is a `hidden beast` number, since 1 + 6 + 2 + 228 + 0 + 9 + 3 + 9 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4671612 + ... + 7366788.

Almost surely, 2^{16222809398400} is an apocalyptic number.

16222809398400 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 16222809398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33236396060400).

16222809398400 is an abundant number, since it is smaller than the sum of its proper divisors (50249982722400).

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

16222809398400 is a wasteful number, since it uses less digits than its factorization.

16222809398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695237 (or 2695217 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16222809398400 in words is "sixteen trillion, two hundred twenty-two billion, eight hundred nine million, three hundred ninety-eight thousand, four hundred".