22851072000 has 1040 divisors, whose sum is σ = 92767989600. Its totient is φ = 5573836800.

The previous prime is 22851071927. The next prime is 22851072001. The reversal of 22851072000 is 27015822.

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

It is not an unprimeable number, because it can be changed into a prime (22851072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 787967986 + ... + 787968014.

It is an arithmetic number, because the mean of its divisors is an integer number (89199990).

Almost surely, 2^22851072000 is an apocalyptic number.

22851072000 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 22851072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46383994800).

22851072000 is an abundant number, since it is smaller than the sum of its proper divisors (69916917600).

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

22851072000 is an equidigital number, since it uses as much as digits as its factorization.

22851072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 22851072000 its reverse (27015822), we get a palindrome (22878087822).

The spelling of 22851072000 in words is "twenty-two billion, eight hundred fifty-one million, seventy-two thousand".