85313196000 has 384 divisors, whose sum is σ = 312829171200. Its totient is φ = 22582540800.

The previous prime is 85313195951. The next prime is 85313196041. The reversal of 85313196000 is 69131358.

It is a happy number.

85313196000 is a `hidden beast` number, since 8 + 5 + 31 + 3 + 19 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15009159 + ... + 15014841.

It is an arithmetic number, because the mean of its divisors is an integer number (814659300).

Almost surely, 2^85313196000 is an apocalyptic number.

85313196000 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 85313196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156414585600).

85313196000 is an abundant number, since it is smaller than the sum of its proper divisors (227515975200).

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

85313196000 is a wasteful number, since it uses less digits than its factorization.

85313196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 85313196000 in words is "eighty-five billion, three hundred thirteen million, one hundred ninety-six thousand".