22085540352 has 300 divisors, whose sum is σ = 67923445590. Its totient is φ = 7144464384.

The previous prime is 22085540339. The next prime is 22085540357. The reversal of 22085540352 is 25304558022.

It is a happy number.

22085540352 is a `hidden beast` number, since 2 + 2 + 0 + 85 + 540 + 35 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21956126976 + 129413376 = 148176^2 + 11376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22085540357) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 56774974 + ... + 56775362.

Almost surely, 2^22085540352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22085540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33961722795).

22085540352 is an abundant number, since it is smaller than the sum of its proper divisors (45837905238).

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

22085540352 is an frugal number, since it uses more digits than its factorization.

22085540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 22085540352 in words is "twenty-two billion, eighty-five million, five hundred forty thousand, three hundred fifty-two".