21922992000 has 1152 divisors, whose sum is σ = 99042652800. Its totient is φ = 4606156800.

The previous prime is 21922991999. The next prime is 21922992001. The reversal of 21922992000 is 29922912.

It is an interprime number because it is at equal distance from previous prime (21922991999) and next prime (21922992001).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21922992001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91727881 + ... + 91728119.

It is an arithmetic number, because the mean of its divisors is an integer number (85974525).

Almost surely, 2^21922992000 is an apocalyptic number.

21922992000 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 21922992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521326400).

21922992000 is an abundant number, since it is smaller than the sum of its proper divisors (77119660800).

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

21922992000 is a wasteful number, since it uses less digits than its factorization.

21922992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21922992000 in words is "twenty-one billion, nine hundred twenty-two million, nine hundred ninety-two thousand".