18930240000 has 800 divisors, whose sum is σ = 80279802240. Its totient is φ = 4313088000.

The previous prime is 18930239987. The next prime is 18930240031. The reversal of 18930240000 is 4203981.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60479844 + ... + 60480156.

Almost surely, 2^18930240000 is an apocalyptic number.

18930240000 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 18930240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40139901120).

18930240000 is an abundant number, since it is smaller than the sum of its proper divisors (61349562240).

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

18930240000 is an frugal number, since it uses more digits than its factorization.

18930240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 18930240000 its reverse (4203981), we get a palindrome (18934443981).

It can be divided in two parts, 189 and 30240000, that multiplied together give a square (5715360000 = 75600²).

The spelling of 18930240000 in words is "eighteen billion, nine hundred thirty million, two hundred forty thousand".