85509337088 has 156 divisors (see below), whose sum is σ = 201471078240. Its totient is φ = 36176265216.

The previous prime is 85509337073. The next prime is 85509337127. The reversal of 85509337088 is 88073390558.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15852920 + ... + 15858312.

Almost surely, 2^85509337088 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 85509337088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100735539120).

85509337088 is an abundant number, since it is smaller than the sum of its proper divisors (115961741152).

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

85509337088 is an equidigital number, since it uses as much as digits as its factorization.

85509337088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 85509337088 in words is "eighty-five billion, five hundred nine million, three hundred thirty-seven thousand, eighty-eight".