85172819004 has 432 divisors, whose sum is σ = 281864733696. Its totient is φ = 22289904000.

The previous prime is 85172818963. The next prime is 85172819009. The reversal of 85172819004 is 40091827158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85172819009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93493309 + ... + 93494219.

Almost surely, 2^85172819004 is an apocalyptic number.

85172819004 is a gapful number since it is divisible by the number (84) 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 85172819004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140932366848).

85172819004 is an abundant number, since it is smaller than the sum of its proper divisors (196691914692).

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

85172819004 is a wasteful number, since it uses less digits than its factorization.

85172819004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1087 counting only the distinct ones).

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

The spelling of 85172819004 in words is "eighty-five billion, one hundred seventy-two million, eight hundred nineteen thousand, four".