18795225600 has 720 divisors, whose sum is σ = 73350900480. Its totient is φ = 4578508800.

The previous prime is 18795225593. The next prime is 18795225601. The reversal of 18795225600 is 652259781.

18795225600 is a `hidden beast` number, since 1 + 8 + 79 + 522 + 56 + 0 + 0 = 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 (45).

It is not an unprimeable number, because it can be changed into a prime (18795225601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67852662 + ... + 67852938.

Almost surely, 2^18795225600 is an apocalyptic number.

18795225600 is a gapful number since it is divisible by the number (10) 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 18795225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36675450240).

18795225600 is an abundant number, since it is smaller than the sum of its proper divisors (54555674880).

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

18795225600 is a wasteful number, since it uses less digits than its factorization.

18795225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 18795225600 in words is "eighteen billion, seven hundred ninety-five million, two hundred twenty-five thousand, six hundred".