85035405312 has 832 divisors, whose sum is σ = 312647193600. Its totient is φ = 22454599680.

The previous prime is 85035405307. The next prime is 85035405317. The reversal of 85035405312 is 21350453058.

85035405312 is a `hidden beast` number, since 8 + 50 + 3 + 540 + 53 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (85035405307) and next prime (85035405317).

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×85035405312² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85035405317) 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 63 ways as a sum of consecutive naturals, for example, 300478323 + ... + 300478605.

Almost surely, 2^85035405312 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 85035405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156323596800).

85035405312 is an abundant number, since it is smaller than the sum of its proper divisors (227611788288).

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

85035405312 is a wasteful number, since it uses less digits than its factorization.

85035405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 85035405312 in words is "eighty-five billion, thirty-five million, four hundred five thousand, three hundred twelve".