18306025920 has 1008 divisors, whose sum is σ = 81213350400. Its totient is φ = 3842961408.

The previous prime is 18306025897. The next prime is 18306025951. The reversal of 18306025920 is 2952060381.

18306025920 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 60 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×18306025920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91989981 + ... + 91990179.

It is an arithmetic number, because the mean of its divisors is an integer number (80568800).

Almost surely, 2^18306025920 is an apocalyptic number.

18306025920 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 18306025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40606675200).

18306025920 is an abundant number, since it is smaller than the sum of its proper divisors (62907324480).

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

18306025920 is a wasteful number, since it uses less digits than its factorization.

18306025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 18306025920 in words is "eighteen billion, three hundred six million, twenty-five thousand, nine hundred twenty".