22630857088320 has 448 divisors, whose sum is σ = 85990033597440. Its totient is φ = 5569887338496.

The previous prime is 22630857088319. The next prime is 22630857088321. The reversal of 22630857088320 is 2388075803622.

22630857088320 is a `hidden beast` number, since 2 + 2 + 6 + 30 + 8 + 570 + 8 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22630857088319) and next prime (22630857088321).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22630857088321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1550794944 + ... + 1550809536.

It is an arithmetic number, because the mean of its divisors is an integer number (191942039280).

Almost surely, 2^{22630857088320} is an apocalyptic number.

22630857088320 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 22630857088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42995016798720).

22630857088320 is an abundant number, since it is smaller than the sum of its proper divisors (63359176509120).

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

22630857088320 is a wasteful number, since it uses less digits than its factorization.

22630857088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28439 (or 28423 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 22630857088320 in words is "twenty-two trillion, six hundred thirty billion, eight hundred fifty-seven million, eighty-eight thousand, three hundred twenty".