18120954600 has 216 divisors, whose sum is σ = 70792257510. Its totient is φ = 4141912320.

The previous prime is 18120954581. The next prime is 18120954617. The reversal of 18120954600 is 645902181.

It can be written as a sum of positive squares in 3 ways, for example, as 6659539236 + 11461415364 = 81606^2 + 107058^2 .

It is a super-2 number, since 2×18120954600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14527 + ... + 190926.

Almost surely, 2^18120954600 is an apocalyptic number.

18120954600 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 18120954600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35396128755).

18120954600 is an abundant number, since it is smaller than the sum of its proper divisors (52671302910).

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

18120954600 is a wasteful number, since it uses less digits than its factorization.

18120954600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205489 (or 205470 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18120954600 in words is "eighteen billion, one hundred twenty million, nine hundred fifty-four thousand, six hundred".