22513720320 has 1188 divisors, whose sum is σ = 99928562760. Its totient is φ = 4669636608.

The previous prime is 22513720291. The next prime is 22513720321. The reversal of 22513720320 is 2302731522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22513720321) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 381588451 + ... + 381588509.

Almost surely, 2^22513720320 is an apocalyptic number.

22513720320 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 22513720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49964281380).

22513720320 is an abundant number, since it is smaller than the sum of its proper divisors (77414842440).

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

22513720320 is a wasteful number, since it uses less digits than its factorization.

22513720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 22513720320 in words is "twenty-two billion, five hundred thirteen million, seven hundred twenty thousand, three hundred twenty".