180485799137280 has 2496 divisors, whose sum is σ = 785212634099712. Its totient is φ = 37333877391360.

The previous prime is 180485799137227. The next prime is 180485799137317. The reversal of 180485799137280 is 82731997584081.

180485799137280 is a `hidden beast` number, since 1 + 8 + 0 + 48 + 57 + 9 + 91 + 372 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 180485799137199 and 180485799137208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273049620150 + ... + 273049620810.

It is an arithmetic number, because the mean of its divisors is an integer number (314588395072).

Almost surely, 2^{180485799137280} is an apocalyptic number.

180485799137280 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 180485799137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392606317049856).

180485799137280 is an abundant number, since it is smaller than the sum of its proper divisors (604726834962432).

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

180485799137280 is a wasteful number, since it uses less digits than its factorization.

180485799137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 180485799137280 in words is "one hundred eighty trillion, four hundred eighty-five billion, seven hundred ninety-nine million, one hundred thirty-seven thousand, two hundred eighty".