85027057920 has 1296 divisors, whose sum is σ = 364668175872. Its totient is φ = 18207866880.

The previous prime is 85027057891. The next prime is 85027057943. The reversal of 85027057920 is 2975072058.

It is a happy number.

85027057920 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 70 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 752451784 + ... + 752451896.

Almost surely, 2^85027057920 is an apocalyptic number.

85027057920 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 85027057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182334087936).

85027057920 is an abundant number, since it is smaller than the sum of its proper divisors (279641117952).

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

85027057920 is a wasteful number, since it uses less digits than its factorization.

85027057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 85027057920 in words is "eighty-five billion, twenty-seven million, fifty-seven thousand, nine hundred twenty".