85200036478848 has 160 divisors (see below), whose sum is σ = 253563658468560. Its totient is φ = 28398922278912.

The previous prime is 85200036478831. The next prime is 85200036478867. The reversal of 85200036478848 is 84887463000258.

85200036478848 is a `hidden beast` number, since 8 + 52 + 0 + 0 + 0 + 36 + 478 + 84 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297034636 + ... + 297321332.

Almost surely, 2^{85200036478848} 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 85200036478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781829234280).

85200036478848 is an abundant number, since it is smaller than the sum of its proper divisors (168363621989712).

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

85200036478848 is a wasteful number, since it uses less digits than its factorization.

85200036478848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315386 (or 315365 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 85200036478848 in words is "eighty-five trillion, two hundred billion, thirty-six million, four hundred seventy-eight thousand, eight hundred forty-eight".