86232607056 has 240 divisors, whose sum is σ = 249419446848. Its totient is φ = 27801446400.

The previous prime is 86232607051. The next prime is 86232607057. The reversal of 86232607056 is 65070623268.

It is a happy number.

86232607056 is a `hidden beast` number, since 8 + 6 + 2 + 32 + 607 + 0 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86232607051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157646175 + ... + 157646721.

Almost surely, 2^86232607056 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 86232607056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124709723424).

86232607056 is an abundant number, since it is smaller than the sum of its proper divisors (163186839792).

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

86232607056 is a wasteful number, since it uses less digits than its factorization.

86232607056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 86232607056 in words is "eighty-six billion, two hundred thirty-two million, six hundred seven thousand, fifty-six".