22882068000 has 1152 divisors, whose sum is σ = 97877445120. Its totient is φ = 5170176000.

The previous prime is 22882067981. The next prime is 22882068059. The reversal of 22882068000 is 86028822.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222155949 + ... + 222156051.

It is an arithmetic number, because the mean of its divisors is an integer number (84963060).

Almost surely, 2^22882068000 is an apocalyptic number.

22882068000 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 22882068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48938722560).

22882068000 is an abundant number, since it is smaller than the sum of its proper divisors (74995377120).

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

22882068000 is a wasteful number, since it uses less digits than its factorization.

22882068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 22882068000 in words is "twenty-two billion, eight hundred eighty-two million, sixty-eight thousand".