180412560887680 has 256 divisors, whose sum is σ = 474363906508800. Its totient is φ = 65067450572800.

The previous prime is 180412560887651. The next prime is 180412560887743. The reversal of 180412560887680 is 86788065214081.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681189866 + ... + 1681297174.

It is an arithmetic number, because the mean of its divisors is an integer number (1852984009800).

Almost surely, 2^{180412560887680} is an apocalyptic number.

180412560887680 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 180412560887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237181953254400).

180412560887680 is an abundant number, since it is smaller than the sum of its proper divisors (293951345621120).

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

180412560887680 is a wasteful number, since it uses less digits than its factorization.

180412560887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109293 (or 109281 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 64.

The spelling of 180412560887680 in words is "one hundred eighty trillion, four hundred twelve billion, five hundred sixty million, eight hundred eighty-seven thousand, six hundred eighty".