85825665720 has 256 divisors, whose sum is σ = 296693712000. Its totient is φ = 22327695360.

The previous prime is 85825665713. The next prime is 85825665721. The reversal of 85825665720 is 2756652858.

85825665720 is a `hidden beast` number, since 8 + 5 + 8 + 2 + 5 + 66 + 572 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85825665721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3574716 + ... + 3598644.

Almost surely, 2^85825665720 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 85825665720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148346856000).

85825665720 is an abundant number, since it is smaller than the sum of its proper divisors (210868046280).

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

85825665720 is a wasteful number, since it uses less digits than its factorization.

85825665720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24002 (or 23980 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 85825665720 in words is "eighty-five billion, eight hundred twenty-five million, six hundred sixty-five thousand, seven hundred twenty".