86925522528 has 144 divisors (see below), whose sum is σ = 266556706416. Its totient is φ = 26711424000.

The previous prime is 86925522449. The next prime is 86925522571. The reversal of 86925522528 is 82522552968.

86925522528 is a `hidden beast` number, since 8 + 6 + 92 + 5 + 5 + 22 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2931778 + ... + 2961278.

It is an arithmetic number, because the mean of its divisors is an integer number (1851088239).

Almost surely, 2^86925522528 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 86925522528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133278353208).

86925522528 is an abundant number, since it is smaller than the sum of its proper divisors (179631183888).

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

86925522528 is a wasteful number, since it uses less digits than its factorization.

86925522528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30317 (or 30306 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 86925522528 in words is "eighty-six billion, nine hundred twenty-five million, five hundred twenty-two thousand, five hundred twenty-eight".