85272239745 has 96 divisors (see below), whose sum is σ = 185451552000. Its totient is φ = 35211870720.

The previous prime is 85272239719. The next prime is 85272239753. The reversal of 85272239745 is 54793227258.

85272239745 is a `hidden beast` number, since 8 + 527 + 2 + 23 + 97 + 4 + 5 = 666.

It is not a de Polignac number, because 85272239745 - 2²¹ = 85270142593 is a prime.

It is a super-2 number, since 2×85272239745² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85272239691 and 85272239700.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465631 + ... + 622379.

It is an arithmetic number, because the mean of its divisors is an integer number (1931787000).

Almost surely, 2^85272239745 is an apocalyptic number.

It is an amenable number.

85272239745 is an abundant number, since it is smaller than the sum of its proper divisors (100179312255).

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

85272239745 is a wasteful number, since it uses less digits than its factorization.

85272239745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156935 (or 156932 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 85272239745 in words is "eighty-five billion, two hundred seventy-two million, two hundred thirty-nine thousand, seven hundred forty-five".