18535080960 has 880 divisors, whose sum is σ = 77040564480. Its totient is φ = 4211343360.

The previous prime is 18535080937. The next prime is 18535080961. The reversal of 18535080960 is 6908053581.

18535080960 is a `hidden beast` number, since 1 + 8 + 53 + 508 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18535080961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77552521 + ... + 77552759.

It is an arithmetic number, because the mean of its divisors is an integer number (87546096).

Almost surely, 2^18535080960 is an apocalyptic number.

18535080960 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 18535080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38520282240).

18535080960 is an abundant number, since it is smaller than the sum of its proper divisors (58505483520).

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

18535080960 is a wasteful number, since it uses less digits than its factorization.

18535080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 18535080960 in words is "eighteen billion, five hundred thirty-five million, eighty thousand, nine hundred sixty".