180542987520 has 288 divisors, whose sum is σ = 673007505408. Its totient is φ = 40388665344.

The previous prime is 180542987503. The next prime is 180542987549. The reversal of 180542987520 is 25789245081.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 1191907 + ... + 1334813.

It is an arithmetic number, because the mean of its divisors is an integer number (2336831616).

Almost surely, 2^180542987520 is an apocalyptic number.

180542987520 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 180542987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336503752704).

180542987520 is an abundant number, since it is smaller than the sum of its proper divisors (492464517888).

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

180542987520 is a wasteful number, since it uses less digits than its factorization.

180542987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142985 (or 142971 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 180542987520 in words is "one hundred eighty billion, five hundred forty-two million, nine hundred eighty-seven thousand, five hundred twenty".