22849825680 has 320 divisors, whose sum is σ = 86096989440. Its totient is φ = 5524070400.

The previous prime is 22849825627. The next prime is 22849825697. The reversal of 22849825680 is 8652894822.

It is a happy number.

22849825680 is a `hidden beast` number, since 2 + 28 + 498 + 2 + 56 + 80 = 666.

It is a super-2 number, since 2×22849825680² (a number of 22 digits) contains 22 as substring.

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

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, 10286970 + ... + 10289190.

It is an arithmetic number, because the mean of its divisors is an integer number (269053092).

Almost surely, 2^22849825680 is an apocalyptic number.

22849825680 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 22849825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43048494720).

22849825680 is an abundant number, since it is smaller than the sum of its proper divisors (63247163760).

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

22849825680 is a wasteful number, since it uses less digits than its factorization.

22849825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 22849825680 in words is "twenty-two billion, eight hundred forty-nine million, eight hundred twenty-five thousand, six hundred eighty".