22851370080 has 1152 divisors, whose sum is σ = 106991539200. Its totient is φ = 4459069440.

The previous prime is 22851370051. The next prime is 22851370099. The reversal of 22851370080 is 8007315822.

22851370080 is a `hidden beast` number, since 2 + 285 + 1 + 370 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×22851370080² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50893696 + ... + 50894144.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 2^22851370080 is an apocalyptic number.

22851370080 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 22851370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495769600).

22851370080 is an abundant number, since it is smaller than the sum of its proper divisors (84140169120).

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

22851370080 is a wasteful number, since it uses less digits than its factorization.

22851370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22851370080 in words is "twenty-two billion, eight hundred fifty-one million, three hundred seventy thousand, eighty".