180531465072 has 160 divisors (see below), whose sum is σ = 537747724800. Its totient is φ = 51122770944.

The previous prime is 180531465067. The next prime is 180531465161. The reversal of 180531465072 is 270564135081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17800579 + ... + 17810717.

It is an arithmetic number, because the mean of its divisors is an integer number (3360923280).

Almost surely, 2^180531465072 is an apocalyptic number.

180531465072 is a gapful number since it is divisible by the number (12) 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 180531465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268873862400).

180531465072 is an abundant number, since it is smaller than the sum of its proper divisors (357216259728).

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

180531465072 is a wasteful number, since it uses less digits than its factorization.

180531465072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 180531465072 in words is "one hundred eighty billion, five hundred thirty-one million, four hundred sixty-five thousand, seventy-two".