85972412781 has 12 divisors (see below), whose sum is σ = 124234648252. Its totient is φ = 57290815296.

The previous prime is 85972412761. The next prime is 85972412783. The reversal of 85972412781 is 18721427958.

85972412781 is a `hidden beast` number, since 8 + 597 + 2 + 41 + 2 + 7 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19082935881 + 66889476900 = 138141^2 + 258630^2 .

It is not a de Polignac number, because 85972412781 - 2¹³ = 85972404589 is a prime.

It is a super-2 number, since 2×85972412781² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85972412783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1987966 + ... + 2030751.

Almost surely, 2^85972412781 is an apocalyptic number.

It is an amenable number.

85972412781 is a deficient number, since it is larger than the sum of its proper divisors (38262235471).

85972412781 is a wasteful number, since it uses less digits than its factorization.

85972412781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021100 (or 4021097 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 85972412781 in words is "eighty-five billion, nine hundred seventy-two million, four hundred twelve thousand, seven hundred eighty-one".