85174268427601 has 16 divisors (see below), whose sum is σ = 89463121429248. Its totient is φ = 81004809520000.

The previous prime is 85174268427509. The next prime is 85174268427653. The reversal of 85174268427601 is 10672486247158.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85174268427601 - 2⁹ = 85174268427089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85174268427601.

It is not an unprimeable number, because it can be changed into a prime (85174268427701) 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, 87565030 + ... + 88532383.

It is an arithmetic number, because the mean of its divisors is an integer number (5591445089328).

Almost surely, 2^{85174268427601} is an apocalyptic number.

It is an amenable number.

85174268427601 is a deficient number, since it is larger than the sum of its proper divisors (4288853001647).

85174268427601 is a wasteful number, since it uses less digits than its factorization.

85174268427601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176097752.

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 85174268427601 in words is "eighty-five trillion, one hundred seventy-four billion, two hundred sixty-eight million, four hundred twenty-seven thousand, six hundred one".