22825826880 has 224 divisors, whose sum is σ = 75458872704. Its totient is φ = 5840584704.

The previous prime is 22825826867. The next prime is 22825826897. The reversal of 22825826880 is 8862852822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588559 + ... + 2597361.

Almost surely, 2^22825826880 is an apocalyptic number.

22825826880 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 22825826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37729436352).

22825826880 is an abundant number, since it is smaller than the sum of its proper divisors (52633045824).

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

22825826880 is a wasteful number, since it uses less digits than its factorization.

22825826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 22825826880 in words is "twenty-two billion, eight hundred twenty-five million, eight hundred twenty-six thousand, eight hundred eighty".