180158985120 has 384 divisors, whose sum is σ = 631520499456. Its totient is φ = 42968088576.

The previous prime is 180158985109. The next prime is 180158985133. The reversal of 180158985120 is 21589851081.

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 180158985120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12975622 + ... + 12989498.

It is an arithmetic number, because the mean of its divisors is an integer number (1644584634).

Almost surely, 2^180158985120 is an apocalyptic number.

180158985120 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 180158985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315760249728).

180158985120 is an abundant number, since it is smaller than the sum of its proper divisors (451361514336).

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

180158985120 is a wasteful number, since it uses less digits than its factorization.

180158985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 48.

The spelling of 180158985120 in words is "one hundred eighty billion, one hundred fifty-eight million, nine hundred eighty-five thousand, one hundred twenty".