85127677839360 has 2304 divisors, whose sum is σ = 339531705676800. Its totient is φ = 19567585787904.

The previous prime is 85127677839311. The next prime is 85127677839389. The reversal of 85127677839360 is 6393877672158.

85127677839360 is a `hidden beast` number, since 8 + 5 + 127 + 67 + 7 + 83 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252604385112 + ... + 252604385448.

It is an arithmetic number, because the mean of its divisors is an integer number (147366191700).

Almost surely, 2^{85127677839360} is an apocalyptic number.

85127677839360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85127677839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169765852838400).

85127677839360 is an abundant number, since it is smaller than the sum of its proper divisors (254404027837440).

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

85127677839360 is a wasteful number, since it uses less digits than its factorization.

85127677839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 85127677839360 in words is "eighty-five trillion, one hundred twenty-seven billion, six hundred seventy-seven million, eight hundred thirty-nine thousand, three hundred sixty".