180779993856 has 1296 divisors, whose sum is σ = 702970125312. Its totient is φ = 45327237120.

The previous prime is 180779993851. The next prime is 180779993873. The reversal of 180779993856 is 658399977081.

180779993856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (180779993851) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2476438236 + ... + 2476438308.

Almost surely, 2^180779993856 is an apocalyptic number.

180779993856 is a gapful number since it is divisible by the number (16) 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 180779993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351485062656).

180779993856 is an abundant number, since it is smaller than the sum of its proper divisors (522190131456).

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

180779993856 is an equidigital number, since it uses as much as digits as its factorization.

180779993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 180779993856 in words is "one hundred eighty billion, seven hundred seventy-nine million, nine hundred ninety-three thousand, eight hundred fifty-six".