180053287464960 has 5616 divisors, whose sum is σ = 866578113981216. Its totient is φ = 35615479431168.

The previous prime is 180053287464907. The next prime is 180053287465027. The reversal of 180053287464960 is 69464782350081.

180053287464960 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 5 + 3 + 2 + 87 + 464 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 700596449152 + ... + 700596449408.

It is an arithmetic number, because the mean of its divisors is an integer number (154305219726).

It is a 1-persistent number, because it is pandigital, but 2⋅180053287464960 = 360106574929920 is not.

Almost surely, 2^{180053287464960} is an apocalyptic number.

180053287464960 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 180053287464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433289056990608).

180053287464960 is an abundant number, since it is smaller than the sum of its proper divisors (686524826516256).

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

180053287464960 is a wasteful number, since it uses less digits than its factorization.

180053287464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 180053287464960 in words is "one hundred eighty trillion, fifty-three billion, two hundred eighty-seven million, four hundred sixty-four thousand, nine hundred sixty".