85902135072 has 96 divisors (see below), whose sum is σ = 242952982272. Its totient is φ = 26418991104.

The previous prime is 85902135071. The next prime is 85902135131. The reversal of 85902135072 is 27053120958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85902135071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839128 + ... + 2869224.

It is an arithmetic number, because the mean of its divisors is an integer number (2530760232).

Almost surely, 2^85902135072 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 85902135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121476491136).

85902135072 is an abundant number, since it is smaller than the sum of its proper divisors (157050847200).

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

85902135072 is a wasteful number, since it uses less digits than its factorization.

85902135072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32410 (or 32402 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 85902135072 in words is "eighty-five billion, nine hundred two million, one hundred thirty-five thousand, seventy-two".