18785894400 has 972 divisors, whose sum is σ = 84303615942. Its totient is φ = 3963617280.

The previous prime is 18785894357. The next prime is 18785894401. The reversal of 18785894400 is 449858781.

18785894400 is a `hidden beast` number, since 1 + 87 + 85 + 89 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10433396736 + 8352497664 = 102144^2 + 91392^2 .

It is not an unprimeable number, because it can be changed into a prime (18785894401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1445068794 + ... + 1445068806.

Almost surely, 2^18785894400 is an apocalyptic number.

18785894400 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 18785894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42151807971).

18785894400 is an abundant number, since it is smaller than the sum of its proper divisors (65517721542).

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

18785894400 is an equidigital number, since it uses as much as digits as its factorization.

18785894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18785894400 in words is "eighteen billion, seven hundred eighty-five million, eight hundred ninety-four thousand, four hundred".