85338721120 has 48 divisors (see below), whose sum is σ = 201904759728. Its totient is φ = 34086044160.

The previous prime is 85338721079. The next prime is 85338721199. The reversal of 85338721120 is 2112783358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275379 + ... + 496498.

It is an arithmetic number, because the mean of its divisors is an integer number (4206349161).

Almost surely, 2^85338721120 is an apocalyptic number.

85338721120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85338721120 is an abundant number, since it is smaller than the sum of its proper divisors (116566038608).

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

85338721120 is a wasteful number, since it uses less digits than its factorization.

85338721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772583 (or 772575 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 85338721120 in words is "eighty-five billion, three hundred thirty-eight million, seven hundred twenty-one thousand, one hundred twenty".