85460780160 has 1280 divisors, whose sum is σ = 368530145280. Its totient is φ = 18463334400.

The previous prime is 85460780149. The next prime is 85460780213. The reversal of 85460780160 is 6108706458.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 798698827 + ... + 798698933.

It is an arithmetic number, because the mean of its divisors is an integer number (287914176).

Almost surely, 2^85460780160 is an apocalyptic number.

85460780160 is a gapful number since it is divisible by the number (80) 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 85460780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184265072640).

85460780160 is an abundant number, since it is smaller than the sum of its proper divisors (283069365120).

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

85460780160 is a wasteful number, since it uses less digits than its factorization.

85460780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85460780160 in words is "eighty-five billion, four hundred sixty million, seven hundred eighty thousand, one hundred sixty".