85510744200 has 480 divisors, whose sum is σ = 342760978560. Its totient is φ = 19352908800.

The previous prime is 85510744199. The next prime is 85510744211. The reversal of 85510744200 is 244701558.

85510744200 is a `hidden beast` number, since 85 + 510 + 7 + 44 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11676540 + ... + 11683860.

It is an arithmetic number, because the mean of its divisors is an integer number (714085372).

Almost surely, 2^85510744200 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 85510744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171380489280).

85510744200 is an abundant number, since it is smaller than the sum of its proper divisors (257250234360).

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

85510744200 is a wasteful number, since it uses less digits than its factorization.

85510744200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 85510744200 in words is "eighty-five billion, five hundred ten million, seven hundred forty-four thousand, two hundred".