85275115200 has 1008 divisors, whose sum is σ = 347788406784. Its totient is φ = 20379340800.

The previous prime is 85275115187. The next prime is 85275115201. The reversal of 85275115200 is 251157258.

85275115200 is a `hidden beast` number, since 8 + 52 + 75 + 11 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85275115201) 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, 543153522 + ... + 543153678.

Almost surely, 2^85275115200 is an apocalyptic number.

85275115200 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 85275115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173894203392).

85275115200 is an abundant number, since it is smaller than the sum of its proper divisors (262513291584).

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

85275115200 is a wasteful number, since it uses less digits than its factorization.

85275115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 85275115200 in words is "eighty-five billion, two hundred seventy-five million, one hundred fifteen thousand, two hundred".