18109752480 has 288 divisors, whose sum is σ = 63954687888. Its totient is φ = 4663296000.

The previous prime is 18109752431. The next prime is 18109752481. The reversal of 18109752480 is 8425790181.

18109752480 is a `hidden beast` number, since 1 + 81 + 0 + 97 + 5 + 2 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11413930896 + 6695821584 = 106836^2 + 81828^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (18109752481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5961522 + ... + 5964558.

Almost surely, 2^18109752480 is an apocalyptic number.

18109752480 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 18109752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31977343944).

18109752480 is an abundant number, since it is smaller than the sum of its proper divisors (45844935408).

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

18109752480 is a wasteful number, since it uses less digits than its factorization.

18109752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3189 counting only the distinct ones).

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

The spelling of 18109752480 in words is "eighteen billion, one hundred nine million, seven hundred fifty-two thousand, four hundred eighty".