86257741248 has 504 divisors, whose sum is σ = 303642885728. Its totient is φ = 22915436544.

The previous prime is 86257741237. The next prime is 86257741249. The reversal of 86257741248 is 84214775268.

86257741248 is a `hidden beast` number, since 8 + 6 + 2 + 577 + 41 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 86257741194 and 86257741203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86257741249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78917790 + ... + 78918882.

Almost surely, 2^86257741248 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 86257741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151821442864).

86257741248 is an abundant number, since it is smaller than the sum of its proper divisors (217385144480).

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

86257741248 is a wasteful number, since it uses less digits than its factorization.

86257741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1165 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 86257741248 in words is "eighty-six billion, two hundred fifty-seven million, seven hundred forty-one thousand, two hundred forty-eight".