85370433999116 has 144 divisors (see below), whose sum is σ = 178751585295360. Its totient is φ = 35551772000640.

The previous prime is 85370433999001. The next prime is 85370433999167. The reversal of 85370433999116 is 61199933407358.

It is a super-2 number, since 2×85370433999116² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2877413930 + ... + 2877443598.

It is an arithmetic number, because the mean of its divisors is an integer number (1241330453440).

Almost surely, 2^{85370433999116} is an apocalyptic number.

85370433999116 is a gapful number since it is divisible by the number (86) 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 85370433999116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89375792647680).

85370433999116 is an abundant number, since it is smaller than the sum of its proper divisors (93381151296244).

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

85370433999116 is a wasteful number, since it uses less digits than its factorization.

85370433999116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31484 (or 31475 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 68.

The spelling of 85370433999116 in words is "eighty-five trillion, three hundred seventy billion, four hundred thirty-three million, nine hundred ninety-nine thousand, one hundred sixteen".