85196840960 has 672 divisors, whose sum is σ = 275935854528. Its totient is φ = 24882708480.

The previous prime is 85196840957. The next prime is 85196841007. The reversal of 85196840960 is 6904869158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 85196840896 and 85196840905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375316367 + ... + 375316593.

Almost surely, 2^85196840960 is an apocalyptic number.

85196840960 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 85196840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137967927264).

85196840960 is an abundant number, since it is smaller than the sum of its proper divisors (190739013568).

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

85196840960 is a wasteful number, since it uses less digits than its factorization.

85196840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 85196840960 in words is "eighty-five billion, one hundred ninety-six million, eight hundred forty thousand, nine hundred sixty".