22781952000 has 544 divisors, whose sum is σ = 85059836160. Its totient is φ = 6016204800.

The previous prime is 22781951989. The next prime is 22781952007. The reversal of 22781952000 is 25918722.

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

It is not an unprimeable number, because it can be changed into a prime (22781952007) 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 31 ways as a sum of consecutive naturals, for example, 221183949 + ... + 221184051.

Almost surely, 2^22781952000 is an apocalyptic number.

22781952000 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 22781952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42529918080).

22781952000 is an abundant number, since it is smaller than the sum of its proper divisors (62277884160).

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

22781952000 is an frugal number, since it uses more digits than its factorization.

22781952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 22781952000 in words is "twenty-two billion, seven hundred eighty-one million, nine hundred fifty-two thousand".