22808251620 has 768 divisors, whose sum is σ = 96079011840. Its totient is φ = 4346265600.

The previous prime is 22808251597. The next prime is 22808251639. The reversal of 22808251620 is 2615280822.

22808251620 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 8 + 25 + 1 + 620 = 666.

It is a super-2 number, since 2×22808251620² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28980867 + ... + 28981653.

It is an arithmetic number, because the mean of its divisors is an integer number (125102880).

Almost surely, 2^22808251620 is an apocalyptic number.

22808251620 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 22808251620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48039505920).

22808251620 is an abundant number, since it is smaller than the sum of its proper divisors (73270760220).

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

22808251620 is a wasteful number, since it uses less digits than its factorization.

22808251620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 22808251620 in words is "twenty-two billion, eight hundred eight million, two hundred fifty-one thousand, six hundred twenty".