18288652800 has 480 divisors, whose sum is σ = 68226079680. Its totient is φ = 4277862400.

The previous prime is 18288652799. The next prime is 18288652807. The reversal of 18288652800 is 825688281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18288652800.

It is not an unprimeable number, because it can be changed into a prime (18288652807) 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, 12248854 + ... + 12250346.

It is an arithmetic number, because the mean of its divisors is an integer number (142137666).

Almost surely, 2^18288652800 is an apocalyptic number.

18288652800 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 18288652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34113039840).

18288652800 is an abundant number, since it is smaller than the sum of its proper divisors (49937426880).

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

18288652800 is a wasteful number, since it uses less digits than its factorization.

18288652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 18288652800 in words is "eighteen billion, two hundred eighty-eight million, six hundred fifty-two thousand, eight hundred".