85717511100 has 216 divisors, whose sum is σ = 294090017312. Its totient is φ = 20753625600.

The previous prime is 85717511023. The next prime is 85717511101. The reversal of 85717511100 is 111571758.

85717511100 is a `hidden beast` number, since 8 + 571 + 75 + 1 + 1 + 10 + 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 not an unprimeable number, because it can be changed into a prime (85717511101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653649 + ... + 773751.

Almost surely, 2^85717511100 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 85717511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147045008656).

85717511100 is an abundant number, since it is smaller than the sum of its proper divisors (208372506212).

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

85717511100 is a wasteful number, since it uses less digits than its factorization.

85717511100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120197 (or 120187 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 36.

The spelling of 85717511100 in words is "eighty-five billion, seven hundred seventeen million, five hundred eleven thousand, one hundred".