22685428128000 has 576 divisors, whose sum is σ = 84111405041664. Its totient is φ = 5371591680000.

The previous prime is 22685428127963. The next prime is 22685428128007. The reversal of 22685428128000 is 82182458622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22685428128007) 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, 45158205 + ... + 45657795.

It is an arithmetic number, because the mean of its divisors is an integer number (146026744864).

Almost surely, 2^{22685428128000} is an apocalyptic number.

22685428128000 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 22685428128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42055702520832).

22685428128000 is an abundant number, since it is smaller than the sum of its proper divisors (61425976913664).

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

22685428128000 is a wasteful number, since it uses less digits than its factorization.

22685428128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499679 (or 499655 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 22685428128000 in words is "twenty-two trillion, six hundred eighty-five billion, four hundred twenty-eight million, one hundred twenty-eight thousand".