180378145080 has 320 divisors, whose sum is σ = 693742832640. Its totient is φ = 41178025728.

The previous prime is 180378145063. The next prime is 180378145093. The reversal of 180378145080 is 80541873081.

It is a happy number.

180378145080 is a `hidden beast` number, since 18 + 0 + 37 + 81 + 450 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20021937 + ... + 20030943.

It is an arithmetic number, because the mean of its divisors is an integer number (2167946352).

Almost surely, 2^180378145080 is an apocalyptic number.

180378145080 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 180378145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346871416320).

180378145080 is an abundant number, since it is smaller than the sum of its proper divisors (513364687560).

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

180378145080 is a wasteful number, since it uses less digits than its factorization.

180378145080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 180378145080 in words is "one hundred eighty billion, three hundred seventy-eight million, one hundred forty-five thousand, eighty".