22275435600 has 720 divisors, whose sum is σ = 90510885504. Its totient is φ = 5018112000.

The previous prime is 22275435571. The next prime is 22275435607. The reversal of 22275435600 is 653457222.

22275435600 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 5 + 43 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (22275435607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33699270 + ... + 33699930.

Almost surely, 2^22275435600 is an apocalyptic number.

22275435600 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 22275435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45255442752).

22275435600 is an abundant number, since it is smaller than the sum of its proper divisors (68235449904).

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

22275435600 is a wasteful number, since it uses less digits than its factorization.

22275435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 22275435600 in words is "twenty-two billion, two hundred seventy-five million, four hundred thirty-five thousand, six hundred".