18520488100 has 81 divisors (see below), whose sum is σ = 41622525441. Its totient is φ = 7152890400.

The previous prime is 18520488097. The next prime is 18520488139. The reversal of 18520488100 is 188402581.

It is a happy number.

The square root of 18520488100 is 136090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6667375716 + 11853112384 = 81654^2 + 108872^2 .

It is a super-2 number, since 2×18520488100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18520488100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42187681 + ... + 42188119.

Almost surely, 2^18520488100 is an apocalyptic number.

18520488100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18520488100 is the 136090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18520488100

18520488100 is an abundant number, since it is smaller than the sum of its proper divisors (23102037341).

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

18520488100 is an equidigital number, since it uses as much as digits as its factorization.

18520488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 18520488100 in words is "eighteen billion, five hundred twenty million, four hundred eighty-eight thousand, one hundred".