22982135520 has 384 divisors, whose sum is σ = 78369984000. Its totient is φ = 5643509760.

The previous prime is 22982135513. The next prime is 22982135521. The reversal of 22982135520 is 2553128922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22982135521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60638691 + ... + 60639069.

It is an arithmetic number, because the mean of its divisors is an integer number (204088500).

Almost surely, 2^22982135520 is an apocalyptic number.

22982135520 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 22982135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992000).

22982135520 is an abundant number, since it is smaller than the sum of its proper divisors (55387848480).

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

22982135520 is a wasteful number, since it uses less digits than its factorization.

22982135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 22982135520 in words is "twenty-two billion, nine hundred eighty-two million, one hundred thirty-five thousand, five hundred twenty".