86305352700 has 288 divisors, whose sum is σ = 299344840704. Its totient is φ = 18784604160.

The previous prime is 86305352671. The next prime is 86305352711. The reversal of 86305352700 is 725350368.

It is a super-2 number, since 2×86305352700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3640084 + ... + 3663716.

It is an arithmetic number, because the mean of its divisors is an integer number (1039391808).

Almost surely, 2^86305352700 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 86305352700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149672420352).

86305352700 is an abundant number, since it is smaller than the sum of its proper divisors (213039488004).

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

86305352700 is a wasteful number, since it uses less digits than its factorization.

86305352700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23741 (or 23734 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 86305352700 in words is "eighty-six billion, three hundred five million, three hundred fifty-two thousand, seven hundred".