85109172480 has 216 divisors, whose sum is σ = 296350766712. Its totient is φ = 22550740992.

The previous prime is 85109172433. The next prime is 85109172481. The reversal of 85109172480 is 8427190158.

85109172480 is a `hidden beast` number, since 8 + 5 + 10 + 91 + 72 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 414203904 + 84694968576 = 20352^2 + 291024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85109172481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785112 + ... + 1832168.

Almost surely, 2^85109172480 is an apocalyptic number.

85109172480 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 85109172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148175383356).

85109172480 is an abundant number, since it is smaller than the sum of its proper divisors (211241594232).

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

85109172480 is a wasteful number, since it uses less digits than its factorization.

85109172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47241 (or 47224 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 85109172480 in words is "eighty-five billion, one hundred nine million, one hundred seventy-two thousand, four hundred eighty".