85337271731712 has 2560 divisors, whose sum is σ = 323571482099712. Its totient is φ = 19276185600000.

The previous prime is 85337271731617. The next prime is 85337271731749. The reversal of 85337271731712 is 21713717273358.

It is a super-2 number, since 2×85337271731712² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 511001627053 + ... + 511001627219.

Almost surely, 2^{85337271731712} 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 85337271731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161785741049856).

85337271731712 is an abundant number, since it is smaller than the sum of its proper divisors (238234210368000).

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

85337271731712 is a wasteful number, since it uses less digits than its factorization.

85337271731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 57.

The spelling of 85337271731712 in words is "eighty-five trillion, three hundred thirty-seven billion, two hundred seventy-one million, seven hundred thirty-one thousand, seven hundred twelve".