85995846720 has 420 divisors, whose sum is σ = 355850852940. Its totient is φ = 19655903232.

The previous prime is 85995846709. The next prime is 85995846733. The reversal of 85995846720 is 2764859958.

85995846720 is a `hidden beast` number, since 85 + 9 + 95 + 8 + 467 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12745506816 + 73250339904 = 112896^2 + 270648^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1236226 + ... + 1303934.

Almost surely, 2^85995846720 is an apocalyptic number.

85995846720 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 85995846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177925426470).

85995846720 is an abundant number, since it is smaller than the sum of its proper divisors (269855006220).

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

85995846720 is a wasteful number, since it uses less digits than its factorization.

85995846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67752 (or 67726 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 85995846720 in words is "eighty-five billion, nine hundred ninety-five million, eight hundred forty-six thousand, seven hundred twenty".