85007185380 has 144 divisors (see below), whose sum is σ = 278060865264. Its totient is φ = 20896911360.

The previous prime is 85007185379. The next prime is 85007185447. The reversal of 85007185380 is 8358170058.

It is a happy number.

85007185380 is a `hidden beast` number, since 8 + 500 + 7 + 18 + 53 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53192041956 + 31815143424 = 230634^2 + 178368^2 .

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 47 ways as a sum of consecutive naturals, for example, 1756872 + ... + 1804608.

It is an arithmetic number, because the mean of its divisors is an integer number (1930978231).

Almost surely, 2^85007185380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85007185380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139030432632).

85007185380 is an abundant number, since it is smaller than the sum of its proper divisors (193053679884).

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

85007185380 is a wasteful number, since it uses less digits than its factorization.

85007185380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48526 (or 48521 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 85007185380 in words is "eighty-five billion, seven million, one hundred eighty-five thousand, three hundred eighty".