21922790400 has 1056 divisors, whose sum is σ = 96495252480. Its totient is φ = 4768727040.

The previous prime is 21922790389. The next prime is 21922790429. The reversal of 21922790400 is 409722912.

21922790400 is a `hidden beast` number, since 21 + 9 + 227 + 9 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111283102 + ... + 111283298.

It is an arithmetic number, because the mean of its divisors is an integer number (91378080).

Almost surely, 2^21922790400 is an apocalyptic number.

21922790400 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 21922790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48247626240).

21922790400 is an abundant number, since it is smaller than the sum of its proper divisors (74572462080).

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

21922790400 is a wasteful number, since it uses less digits than its factorization.

21922790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21922790400 in words is "twenty-one billion, nine hundred twenty-two million, seven hundred ninety thousand, four hundred".