22330295768880 has 320 divisors, whose sum is σ = 83952887385600. Its totient is φ = 5410494766080.

The previous prime is 22330295768857. The next prime is 22330295768881. The reversal of 22330295768880 is 8886759203322.

22330295768880 is a `hidden beast` number, since 2 + 2 + 3 + 30 + 29 + 576 + 8 + 8 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (22330295768881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44108226 + ... + 44611614.

It is an arithmetic number, because the mean of its divisors is an integer number (262352773080).

Almost surely, 2^{22330295768880} is an apocalyptic number.

22330295768880 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 22330295768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976443692800).

22330295768880 is an abundant number, since it is smaller than the sum of its proper divisors (61622591616720).

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

22330295768880 is a wasteful number, since it uses less digits than its factorization.

22330295768880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505289 (or 505277 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 22330295768880 in words is "twenty-two trillion, three hundred thirty billion, two hundred ninety-five million, seven hundred sixty-eight thousand, eight hundred eighty".