22775800320 has 1600 divisors, whose sum is σ = 107804100096. Its totient is φ = 4459069440.

The previous prime is 22775800309. The next prime is 22775800321. The reversal of 22775800320 is 2300857722.

It is a happy number.

22775800320 is a `hidden beast` number, since 2 + 2 + 77 + 580 + 0 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×22775800320³ (a number of 32 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (22775800321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 320785885 + ... + 320785955.

Almost surely, 2^22775800320 is an apocalyptic number.

22775800320 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 22775800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902050048).

22775800320 is an abundant number, since it is smaller than the sum of its proper divisors (85028299776).

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

22775800320 is a wasteful number, since it uses less digits than its factorization.

22775800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 22775800320 in words is "twenty-two billion, seven hundred seventy-five million, eight hundred thousand, three hundred twenty".