85047528600 has 576 divisors, whose sum is σ = 314939664000. Its totient is φ = 20471808000.

The previous prime is 85047528589. The next prime is 85047528607. The reversal of 85047528600 is 682574058.

85047528600 is a `hidden beast` number, since 85 + 0 + 47 + 528 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85047528607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212088400 + ... + 212088800.

It is an arithmetic number, because the mean of its divisors is an integer number (546770250).

Almost surely, 2^85047528600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85047528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157469832000).

85047528600 is an abundant number, since it is smaller than the sum of its proper divisors (229892135400).

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

85047528600 is a wasteful number, since it uses less digits than its factorization.

85047528600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 85047528600 in words is "eighty-five billion, forty-seven million, five hundred twenty-eight thousand, six hundred".