18057785760 has 576 divisors, whose sum is σ = 76738233600. Its totient is φ = 3946973184.

The previous prime is 18057785749. The next prime is 18057785761. The reversal of 18057785760 is 6758775081.

It is a happy number.

18057785760 is a `hidden beast` number, since 1 + 8 + 0 + 577 + 8 + 5 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18057785697 and 18057785706.

It is not an unprimeable number, because it can be changed into a prime (18057785761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4866786 + ... + 4870494.

It is an arithmetic number, because the mean of its divisors is an integer number (133226100).

Almost surely, 2^18057785760 is an apocalyptic number.

18057785760 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 18057785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38369116800).

18057785760 is an abundant number, since it is smaller than the sum of its proper divisors (58680447840).

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

18057785760 is a wasteful number, since it uses less digits than its factorization.

18057785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 18057785760 in words is "eighteen billion, fifty-seven million, seven hundred eighty-five thousand, seven hundred sixty".