85300780032 has 264 divisors, whose sum is σ = 274408374240. Its totient is φ = 25340313600.

The previous prime is 85300780013. The next prime is 85300780043. The reversal of 85300780032 is 23008700358.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3462157 + ... + 3486707.

It is an arithmetic number, because the mean of its divisors is an integer number (1039425660).

Almost surely, 2^85300780032 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 85300780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137204187120).

85300780032 is an abundant number, since it is smaller than the sum of its proper divisors (189107594208).

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

85300780032 is a wasteful number, since it uses less digits than its factorization.

85300780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24619 (or 24598 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 85300780032 in words is "eighty-five billion, three hundred million, seven hundred eighty thousand, thirty-two".