86460738528 has 96 divisors (see below), whose sum is σ = 230852353536. Its totient is φ = 28327799808.

The previous prime is 86460738521. The next prime is 86460738557. The reversal of 86460738528 is 82583706468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86460738521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963500 + ... + 2992532.

It is an arithmetic number, because the mean of its divisors is an integer number (2404712016).

Almost surely, 2^86460738528 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 86460738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115426176768).

86460738528 is an abundant number, since it is smaller than the sum of its proper divisors (144391615008).

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

86460738528 is a wasteful number, since it uses less digits than its factorization.

86460738528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29576 (or 29568 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 86460738528 in words is "eighty-six billion, four hundred sixty million, seven hundred thirty-eight thousand, five hundred twenty-eight".