22538085570 has 1080 divisors, whose sum is σ = 88071903612. Its totient is φ = 4095463680.

The previous prime is 22538085569. The next prime is 22538085601. The reversal of 22538085570 is 7558083522.

22538085570 is a `hidden beast` number, since 22 + 53 + 8 + 0 + 8 + 5 + 570 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20977756569 + 1560329001 = 144837^2 + 39501^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1186215021 + ... + 1186215039.

Almost surely, 2^22538085570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22538085570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44035951806).

22538085570 is an abundant number, since it is smaller than the sum of its proper divisors (65533818042).

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

22538085570 is a wasteful number, since it uses less digits than its factorization.

22538085570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 22538085570 in words is "twenty-two billion, five hundred thirty-eight million, eighty-five thousand, five hundred seventy".