85112875083600 has 5760 divisors, whose sum is σ = 434180530667520. Its totient is φ = 15495465369600.

The previous prime is 85112875083559. The next prime is 85112875083611. The reversal of 85112875083600 is 638057821158.

85112875083600 is a `hidden beast` number, since 8 + 5 + 1 + 1 + 28 + 7 + 5 + 0 + 8 + 3 + 600 = 666.

85112875083600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2745576615585 + ... + 2745576615615.

It is an arithmetic number, because the mean of its divisors is an integer number (75378564352).

Almost surely, 2^{85112875083600} is an apocalyptic number.

85112875083600 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 85112875083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217090265333760).

85112875083600 is an abundant number, since it is smaller than the sum of its proper divisors (349067655583920).

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

85112875083600 is a wasteful number, since it uses less digits than its factorization.

85112875083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 85112875083600 in words is "eighty-five trillion, one hundred twelve billion, eight hundred seventy-five million, eighty-three thousand, six hundred".