22016912400 has 480 divisors, whose sum is σ = 90109510400. Its totient is φ = 5001523200.

The previous prime is 22016912399. The next prime is 22016912443. The reversal of 22016912400 is 421961022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13682796 + ... + 13684404.

Almost surely, 2^22016912400 is an apocalyptic number.

22016912400 is a gapful number since it is divisible by the number (20) 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 22016912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45054755200).

22016912400 is an abundant number, since it is smaller than the sum of its proper divisors (68092598000).

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

22016912400 is a wasteful number, since it uses less digits than its factorization.

22016912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 22016912400 in words is "twenty-two billion, sixteen million, nine hundred twelve thousand, four hundred".