85825312849920 has 544 divisors, whose sum is σ = 316347697594368. Its totient is φ = 19462549929984.

The previous prime is 85825312849907. The next prime is 85825312849937. The reversal of 85825312849920 is 2994821352858.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873873457 + ... + 873971663.

Almost surely, 2^{85825312849920} is an apocalyptic number.

85825312849920 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 85825312849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158173848797184).

85825312849920 is an abundant number, since it is smaller than the sum of its proper divisors (230522384744448).

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

85825312849920 is an equidigital number, since it uses as much as digits as its factorization.

85825312849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98381 (or 98351 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 85825312849920 in words is "eighty-five trillion, eight hundred twenty-five billion, three hundred twelve million, eight hundred forty-nine thousand, nine hundred twenty".