22485859200 has 1056 divisors, whose sum is σ = 100824417360. Its totient is φ = 4837294080.

The previous prime is 22485859189. The next prime is 22485859211. The reversal of 22485859200 is 295858422.

22485859200 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 58 + 592 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22485859189) and next prime (22485859211).

It is a super-2 number, since 2×22485859200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 1322697592 + ... + 1322697608.

Almost surely, 2^22485859200 is an apocalyptic number.

22485859200 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 22485859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50412208680).

22485859200 is an abundant number, since it is smaller than the sum of its proper divisors (78338558160).

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

22485859200 is an frugal number, since it uses more digits than its factorization.

22485859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 22485859200 in words is "twenty-two billion, four hundred eighty-five million, eight hundred fifty-nine thousand, two hundred".