18509782410 has 144 divisors (see below), whose sum is σ = 58426707456. Its totient is φ = 3981897216.

The previous prime is 18509782391. The next prime is 18509782429. The reversal of 18509782410 is 1428790581.

It is an interprime number because it is at equal distance from previous prime (18509782391) and next prime (18509782429).

It is a super-2 number, since 2×18509782410² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131239 + ... + 232901.

It is an arithmetic number, because the mean of its divisors is an integer number (405741024).

Almost surely, 2^18509782410 is an apocalyptic number.

18509782410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18509782410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29213353728).

18509782410 is an abundant number, since it is smaller than the sum of its proper divisors (39916925046).

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

18509782410 is a wasteful number, since it uses less digits than its factorization.

18509782410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101717 (or 101697 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 18509782410 in words is "eighteen billion, five hundred nine million, seven hundred eighty-two thousand, four hundred ten".