85383011700 has 432 divisors, whose sum is σ = 334312602624. Its totient is φ = 17774899200.

The previous prime is 85383011689. The next prime is 85383011729. The reversal of 85383011700 is 711038358.

85383011700 is a `hidden beast` number, since 8 + 538 + 3 + 0 + 117 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3307242 + ... + 3332958.

Almost surely, 2^85383011700 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 85383011700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167156301312).

85383011700 is an abundant number, since it is smaller than the sum of its proper divisors (248929590924).

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

85383011700 is a wasteful number, since it uses less digits than its factorization.

85383011700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25792 (or 25782 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 85383011700 in words is "eighty-five billion, three hundred eighty-three million, eleven thousand, seven hundred".