85727500038 has 64 divisors (see below), whose sum is σ = 195574487040. Its totient is φ = 28173254760.

The previous prime is 85727499971. The next prime is 85727500043. The reversal of 85727500038 is 83000572758.

85727500038 is a `hidden beast` number, since 8 + 572 + 75 + 0 + 0 + 0 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85727499966 and 85727500002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172531 + ... + 448577.

It is an arithmetic number, because the mean of its divisors is an integer number (3055851360).

Almost surely, 2^85727500038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85727500038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97787243520).

85727500038 is an abundant number, since it is smaller than the sum of its proper divisors (109846987002).

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

85727500038 is an equidigital number, since it uses as much as digits as its factorization.

85727500038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276141 (or 276123 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 85727500038 in words is "eighty-five billion, seven hundred twenty-seven million, five hundred thousand, thirty-eight".