85652115120 has 720 divisors, whose sum is σ = 353233704096. Its totient is φ = 19160064000.

The previous prime is 85652115077. The next prime is 85652115151. The reversal of 85652115120 is 2151125658.

85652115120 is a `hidden beast` number, since 8 + 5 + 6 + 521 + 1 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×85652115120² (a number of 23 digits) contains 22 as substring.

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, 30577720 + ... + 30580520.

Almost surely, 2^85652115120 is an apocalyptic number.

85652115120 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 85652115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176616852048).

85652115120 is an abundant number, since it is smaller than the sum of its proper divisors (267581588976).

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

85652115120 is a wasteful number, since it uses less digits than its factorization.

85652115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 85652115120 in words is "eighty-five billion, six hundred fifty-two million, one hundred fifteen thousand, one hundred twenty".