180059842142400 has 672 divisors, whose sum is σ = 674899083836928. Its totient is φ = 41602196275200.

The previous prime is 180059842142371. The next prime is 180059842142407. The reversal of 180059842142400 is 4241248950081.

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 180059842142400.

It is not an unprimeable number, because it can be changed into a prime (180059842142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336121164 + ... + 336656436.

Almost surely, 2^{180059842142400} is an apocalyptic number.

180059842142400 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 180059842142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337449541918464).

180059842142400 is an abundant number, since it is smaller than the sum of its proper divisors (494839241694528).

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

180059842142400 is a wasteful number, since it uses less digits than its factorization.

180059842142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535609 (or 535594 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 180059842142400 in words is "one hundred eighty trillion, fifty-nine billion, eight hundred forty-two million, one hundred forty-two thousand, four hundred".