18672081120 has 1080 divisors, whose sum is σ = 84604505832. Its totient is φ = 3879912960.

The previous prime is 18672081119. The next prime is 18672081137. The reversal of 18672081120 is 2118027681.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×18672081120² (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 179 ways as a sum of consecutive naturals, for example, 1697461915 + ... + 1697461925.

Almost surely, 2^18672081120 is an apocalyptic number.

18672081120 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 18672081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42302252916).

18672081120 is an abundant number, since it is smaller than the sum of its proper divisors (65932424712).

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

18672081120 is an frugal number, since it uses more digits than its factorization.

18672081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 18672081120 in words is "eighteen billion, six hundred seventy-two million, eighty-one thousand, one hundred twenty".