86251640832 has 648 divisors, whose sum is σ = 303208885980. Its totient is φ = 24455208960.

The previous prime is 86251640809. The next prime is 86251640857. The reversal of 86251640832 is 23804615268.

86251640832 is a `hidden beast` number, since 8 + 62 + 516 + 40 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 658409407 + ... + 658409537.

Almost surely, 2^86251640832 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 86251640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151604442990).

86251640832 is an abundant number, since it is smaller than the sum of its proper divisors (216957245148).

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

86251640832 is an frugal number, since it uses more digits than its factorization.

86251640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86251640832 in words is "eighty-six billion, two hundred fifty-one million, six hundred forty thousand, eight hundred thirty-two".