85267407429 has 16 divisors (see below), whose sum is σ = 126344333440. Its totient is φ = 56834926560.

The previous prime is 85267407413. The next prime is 85267407487. The reversal of 85267407429 is 92470476258.

85267407429 is a `hidden beast` number, since 8 + 526 + 7 + 40 + 74 + 2 + 9 = 666.

It is not a de Polignac number, because 85267407429 - 2⁴ = 85267407413 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85267405429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120337 + ... + 430134.

It is an arithmetic number, because the mean of its divisors is an integer number (7896520840).

Almost surely, 2^85267407429 is an apocalyptic number.

It is an amenable number.

85267407429 is a deficient number, since it is larger than the sum of its proper divisors (41076926011).

85267407429 is a wasteful number, since it uses less digits than its factorization.

85267407429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556217 (or 556211 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 85267407429 in words is "eighty-five billion, two hundred sixty-seven million, four hundred seven thousand, four hundred twenty-nine".