85313404176 has 960 divisors, whose sum is σ = 317760995328. Its totient is φ = 19160064000.

The previous prime is 85313404171. The next prime is 85313404193. The reversal of 85313404176 is 67140431358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85313404171) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 671759025 + ... + 671759151.

Almost surely, 2^85313404176 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 85313404176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158880497664).

85313404176 is an abundant number, since it is smaller than the sum of its proper divisors (232447591152).

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

85313404176 is a wasteful number, since it uses less digits than its factorization.

85313404176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 85313404176 in words is "eighty-five billion, three hundred thirteen million, four hundred four thousand, one hundred seventy-six".