16422801969600 has 4032 divisors, whose sum is σ = 72669617180160. Its totient is φ = 3611846246400.

The previous prime is 16422801969583. The next prime is 16422801969647. The reversal of 16422801969600 is 696910822461.

16422801969600 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 28 + 0 + 1 + 9 + 6 + 9 + 600 = 666.

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 575 ways as a sum of consecutive naturals, for example, 169307236752 + ... + 169307236848.

Almost surely, 2^{16422801969600} is an apocalyptic number.

16422801969600 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 16422801969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36334808590080).

16422801969600 is an abundant number, since it is smaller than the sum of its proper divisors (56246815210560).

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

16422801969600 is a wasteful number, since it uses less digits than its factorization.

16422801969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16422801969600 in words is "sixteen trillion, four hundred twenty-two billion, eight hundred one million, nine hundred sixty-nine thousand, six hundred".