85427272458 has 64 divisors (see below), whose sum is σ = 219278586240. Its totient is φ = 24364281600.

The previous prime is 85427272453. The next prime is 85427272529.

It is a happy number.

85427272458 is a `hidden beast` number, since 8 + 54 + 2 + 72 + 72 + 458 = 666.

85427272458 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×85427272458³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85427272453) 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, 4219813 + ... + 4240008.

It is an arithmetic number, because the mean of its divisors is an integer number (3426227910).

Almost surely, 2^85427272458 is an apocalyptic number.

85427272458 is an abundant number, since it is smaller than the sum of its proper divisors (133851313782).

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

85427272458 is a wasteful number, since it uses less digits than its factorization.

85427272458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459860 (or 8459854 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The spelling of 85427272458 in words is "eighty-five billion, four hundred twenty-seven million, two hundred seventy-two thousand, four hundred fifty-eight".