85310346240 has 528 divisors, whose sum is σ = 342548713728. Its totient is φ = 19227082752.

The previous prime is 85310346223. The next prime is 85310346259. The reversal of 85310346240 is 4264301358.

85310346240 is a `hidden beast` number, since 8 + 53 + 103 + 462 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85310346195 and 85310346204.

It is a congruent number.

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, 23545069 + ... + 23548691.

Almost surely, 2^85310346240 is an apocalyptic number.

85310346240 is a gapful number since it is divisible by the number (80) 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 85310346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171274356864).

85310346240 is an abundant number, since it is smaller than the sum of its proper divisors (257238367488).

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

85310346240 is a wasteful number, since it uses less digits than its factorization.

85310346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 85310346240 its reverse (4264301358), we get a palindrome (89574647598).

The spelling of 85310346240 in words is "eighty-five billion, three hundred ten million, three hundred forty-six thousand, two hundred forty".