22768128000 has 728 divisors, whose sum is σ = 86591123736. Its totient is φ = 5971968000.

The previous prime is 22768127983. The next prime is 22768128029. The reversal of 22768128000 is 82186722.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 17247043584 = 74304^2 + 131328^2 .

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 55 ways as a sum of consecutive naturals, for example, 373247970 + ... + 373248030.

Almost surely, 2^22768128000 is an apocalyptic number.

22768128000 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 22768128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43295561868).

22768128000 is an abundant number, since it is smaller than the sum of its proper divisors (63822995736).

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

22768128000 is an frugal number, since it uses more digits than its factorization.

22768128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22768128000 in words is "twenty-two billion, seven hundred sixty-eight million, one hundred twenty-eight thousand".