22820128390304 has 192 divisors, whose sum is σ = 53529571872000. Its totient is φ = 9369391718400.

The previous prime is 22820128390303. The next prime is 22820128390327. The reversal of 22820128390304 is 40309382102822.

It is a super-2 number, since 2×22820128390304² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22820128390303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939822644 + ... + 939846924.

It is an arithmetic number, because the mean of its divisors is an integer number (278799853500).

Almost surely, 2^{22820128390304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22820128390304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26764785936000).

22820128390304 is an abundant number, since it is smaller than the sum of its proper divisors (30709443481696).

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

22820128390304 is a wasteful number, since it uses less digits than its factorization.

22820128390304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25447 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 22820128390304 in words is "twenty-two trillion, eight hundred twenty billion, one hundred twenty-eight million, three hundred ninety thousand, three hundred four".