180420095741760 has 504 divisors, whose sum is σ = 723077112176640. Its totient is φ = 41170920634368.

The previous prime is 180420095741749. The next prime is 180420095741773. The reversal of 180420095741760 is 67147590024081.

180420095741760 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 2 + 0 + 0 + 9 + 574 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 180420095741697 and 180420095741706.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 84606721 + ... + 86712959.

Almost surely, 2^{180420095741760} is an apocalyptic number.

180420095741760 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 180420095741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361538556088320).

180420095741760 is an abundant number, since it is smaller than the sum of its proper divisors (542657016434880).

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

180420095741760 is a wasteful number, since it uses less digits than its factorization.

180420095741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106883 (or 2106863 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 180420095741760 in words is "one hundred eighty trillion, four hundred twenty billion, ninety-five million, seven hundred forty-one thousand, seven hundred sixty".