18586020100 has 72 divisors (see below), whose sum is σ = 42862756608. Its totient is φ = 6971097600.

The previous prime is 18586020097. The next prime is 18586020107. The reversal of 18586020100 is 102068581.

It is not an unprimeable number, because it can be changed into a prime (18586020107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440529 + ... + 480871.

It is an arithmetic number, because the mean of its divisors is an integer number (595316064).

Almost surely, 2^18586020100 is an apocalyptic number.

18586020100 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 18586020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431378304).

18586020100 is an abundant number, since it is smaller than the sum of its proper divisors (24276736508).

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

18586020100 is a wasteful number, since it uses less digits than its factorization.

18586020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40645 (or 40638 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 18586020100 its reverse (102068581), we get a palindrome (18688088681).

The spelling of 18586020100 in words is "eighteen billion, five hundred eighty-six million, twenty thousand, one hundred".