22872828657952 has 288 divisors, whose sum is σ = 56130550560000. Its totient is φ = 8983228760064.

The previous prime is 22872828657949. The next prime is 22872828657961. The reversal of 22872828657952 is 25975682827822.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6631725924 + ... + 6631729372.

It is an arithmetic number, because the mean of its divisors is an integer number (194897745000).

Almost surely, 2^{22872828657952} 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 22872828657952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065275280000).

22872828657952 is an abundant number, since it is smaller than the sum of its proper divisors (33257721902048).

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

22872828657952 is a wasteful number, since it uses less digits than its factorization.

22872828657952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4687 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 73.

The spelling of 22872828657952 in words is "twenty-two trillion, eight hundred seventy-two billion, eight hundred twenty-eight million, six hundred fifty-seven thousand, nine hundred fifty-two".