85729437152 has 24 divisors (see below), whose sum is σ = 174599825400. Its totient is φ = 41386624384.

The previous prime is 85729437127. The next prime is 85729437197. The reversal of 85729437152 is 25173492758.

It is a super-2 number, since 2×85729437152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85729437094 and 85729437103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46189502 + ... + 46191357.

It is an arithmetic number, because the mean of its divisors is an integer number (7274992725).

Almost surely, 2^85729437152 is an apocalyptic number.

It is an amenable number.

85729437152 is an abundant number, since it is smaller than the sum of its proper divisors (88870388248).

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

85729437152 is a wasteful number, since it uses less digits than its factorization.

85729437152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92380898 (or 92380890 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 53.

The spelling of 85729437152 in words is "eighty-five billion, seven hundred twenty-nine million, four hundred thirty-seven thousand, one hundred fifty-two".