85742754012 has 96 divisors (see below), whose sum is σ = 223075675200. Its totient is φ = 28480896000.

The previous prime is 85742753963. The next prime is 85742754017. The reversal of 85742754012 is 21045724758.

85742754012 is a `hidden beast` number, since 8 + 5 + 74 + 27 + 540 + 12 = 666.

It is a super-2 number, since 2×85742754012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85742754017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53288664 + ... + 53290272.

It is an arithmetic number, because the mean of its divisors is an integer number (2323704950).

Almost surely, 2^85742754012 is an apocalyptic number.

It is an amenable number.

85742754012 is an abundant number, since it is smaller than the sum of its proper divisors (137332921188).

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

85742754012 is a wasteful number, since it uses less digits than its factorization.

85742754012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 85742754012 in words is "eighty-five billion, seven hundred forty-two million, seven hundred fifty-four thousand, twelve".