22856029680 has 320 divisors, whose sum is σ = 80130871296. Its totient is φ = 5339136000.

The previous prime is 22856029663. The next prime is 22856029717. The reversal of 22856029680 is 8692065822.

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

It is a congruent number.

It is an unprimeable number.

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, 25942840 + ... + 25943720.

Almost surely, 2^22856029680 is an apocalyptic number.

22856029680 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 22856029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40065435648).

22856029680 is an abundant number, since it is smaller than the sum of its proper divisors (57274841616).

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

22856029680 is a wasteful number, since it uses less digits than its factorization.

22856029680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 22856029680 in words is "twenty-two billion, eight hundred fifty-six million, twenty-nine thousand, six hundred eighty".