85300869984 has 192 divisors, whose sum is σ = 253761984000. Its totient is φ = 24862208000.

The previous prime is 85300869931. The next prime is 85300869989. The reversal of 85300869984 is 48996800358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85300869989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060142 + ... + 3087890.

It is an arithmetic number, because the mean of its divisors is an integer number (1321677000).

Almost surely, 2^85300869984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85300869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880992000).

85300869984 is an abundant number, since it is smaller than the sum of its proper divisors (168461114016).

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

85300869984 is a wasteful number, since it uses less digits than its factorization.

85300869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27885 (or 27877 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 85300869984 in words is "eighty-five billion, three hundred million, eight hundred sixty-nine thousand, nine hundred eighty-four".