18561252480 has 256 divisors, whose sum is σ = 61654348800. Its totient is φ = 4744396800.

The previous prime is 18561252467. The next prime is 18561252491. The reversal of 18561252480 is 8425216581.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6486250 + ... + 6489110.

It is an arithmetic number, because the mean of its divisors is an integer number (240837300).

Almost surely, 2^18561252480 is an apocalyptic number.

18561252480 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 18561252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30827174400).

18561252480 is an abundant number, since it is smaller than the sum of its proper divisors (43093096320).

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

18561252480 is a wasteful number, since it uses less digits than its factorization.

18561252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 18561252480 in words is "eighteen billion, five hundred sixty-one million, two hundred fifty-two thousand, four hundred eighty".