85001011200 has 1152 divisors, whose sum is σ = 366790482240. Its totient is φ = 19110297600.

The previous prime is 85001011181. The next prime is 85001011213. The reversal of 85001011200 is 211010058.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1393459170 + ... + 1393459230.

Almost surely, 2^85001011200 is an apocalyptic number.

85001011200 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 85001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183395241120).

85001011200 is an abundant number, since it is smaller than the sum of its proper divisors (281789471040).

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

85001011200 is an frugal number, since it uses more digits than its factorization.

85001011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 85001011200 its reverse (211010058), we get a palindrome (85212021258).

The spelling of 85001011200 in words is "eighty-five billion, one million, eleven thousand, two hundred".