180112111945920 has 1120 divisors, whose sum is σ = 799021528842240. Its totient is φ = 37414714613760.

The previous prime is 180112111945867. The next prime is 180112111945943. The reversal of 180112111945920 is 29549111211081.

180112111945920 is a `hidden beast` number, since 1 + 80 + 1 + 1 + 2 + 1 + 119 + 459 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7817693761 + ... + 7817716799.

Almost surely, 2^{180112111945920} is an apocalyptic number.

180112111945920 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 180112111945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399510764421120).

180112111945920 is an abundant number, since it is smaller than the sum of its proper divisors (618909416896320).

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

180112111945920 is a wasteful number, since it uses less digits than its factorization.

180112111945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27003 (or 26984 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 45.

The spelling of 180112111945920 in words is "one hundred eighty trillion, one hundred twelve billion, one hundred eleven million, nine hundred forty-five thousand, nine hundred twenty".