22816640000 has 440 divisors, whose sum is σ = 71212804608. Its totient is φ = 7096320000.

The previous prime is 22816639961. The next prime is 22816640009. The reversal of 22816640000 is 4661822.

It is a tau number, because it is divible by the number of its divisors (440).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22816640009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49279769 + ... + 49280231.

Almost surely, 2^22816640000 is an apocalyptic number.

22816640000 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 22816640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35606402304).

22816640000 is an abundant number, since it is smaller than the sum of its proper divisors (48396164608).

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

22816640000 is an equidigital number, since it uses as much as digits as its factorization.

22816640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 22816640000 in words is "twenty-two billion, eight hundred sixteen million, six hundred forty thousand".