22825323440 has 80 divisors (see below), whose sum is σ = 54460576800. Its totient is φ = 8893188096.

The previous prime is 22825323439. The next prime is 22825323449. The reversal of 22825323440 is 4432352822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22825323440² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22825323440.

It is not an unprimeable number, because it can be changed into a prime (22825323449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569996 + ... + 608724.

It is an arithmetic number, because the mean of its divisors is an integer number (680757210).

Almost surely, 2^22825323440 is an apocalyptic number.

22825323440 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 22825323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230288400).

22825323440 is an abundant number, since it is smaller than the sum of its proper divisors (31635253360).

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

22825323440 is a wasteful number, since it uses less digits than its factorization.

22825323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38934 (or 38928 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 22825323440 in words is "twenty-two billion, eight hundred twenty-five million, three hundred twenty-three thousand, four hundred forty".