22529352960 has 720 divisors, whose sum is σ = 85475174400. Its totient is φ = 5657444352.

The previous prime is 22529352941. The next prime is 22529352973. The reversal of 22529352960 is 6925392522.

22529352960 is a `hidden beast` number, since 2 + 2 + 529 + 35 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177396417 + ... + 177396543.

It is an arithmetic number, because the mean of its divisors is an integer number (118715520).

Almost surely, 2^22529352960 is an apocalyptic number.

22529352960 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 22529352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42737587200).

22529352960 is an abundant number, since it is smaller than the sum of its proper divisors (62945821440).

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

22529352960 is a wasteful number, since it uses less digits than its factorization.

22529352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 22529352960 in words is "twenty-two billion, five hundred twenty-nine million, three hundred fifty-two thousand, nine hundred sixty".