85788385200 has 480 divisors, whose sum is σ = 369496350720. Its totient is φ = 18455040000.

The previous prime is 85788385169. The next prime is 85788385219. The reversal of 85788385200 is 258388758.

It is a happy number.

85788385200 is a `hidden beast` number, since 8 + 5 + 7 + 88 + 38 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251825 + ... + 1318575.

It is an arithmetic number, because the mean of its divisors is an integer number (769784064).

Almost surely, 2^85788385200 is an apocalyptic number.

85788385200 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 85788385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184748175360).

85788385200 is an abundant number, since it is smaller than the sum of its proper divisors (283707965520).

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

85788385200 is a wasteful number, since it uses less digits than its factorization.

85788385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66802 (or 66785 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 85788385200 in words is "eighty-five billion, seven hundred eighty-eight million, three hundred eighty-five thousand, two hundred".