86625006720 has 1280 divisors, whose sum is σ = 362041574400. Its totient is φ = 17525071872.

The previous prime is 86625006673. The next prime is 86625006751. The reversal of 86625006720 is 2760052668.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2014535019 + ... + 2014535061.

It is an arithmetic number, because the mean of its divisors is an integer number (282844980).

Almost surely, 2^86625006720 is an apocalyptic number.

86625006720 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 86625006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181020787200).

86625006720 is an abundant number, since it is smaller than the sum of its proper divisors (275416567680).

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

86625006720 is a wasteful number, since it uses less digits than its factorization.

86625006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 86625006720 in words is "eighty-six billion, six hundred twenty-five million, six thousand, seven hundred twenty".