86002731360 has 576 divisors, whose sum is σ = 369635954688. Its totient is φ = 17722478592.

The previous prime is 86002731359. The next prime is 86002731427. The reversal of 86002731360 is 6313720068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5627089 + ... + 5642351.

It is an arithmetic number, because the mean of its divisors is an integer number (641729088).

Almost surely, 2^86002731360 is an apocalyptic number.

86002731360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86002731360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184817977344).

86002731360 is an abundant number, since it is smaller than the sum of its proper divisors (283633223328).

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

86002731360 is a wasteful number, since it uses less digits than its factorization.

86002731360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15347 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 86002731360 in words is "eighty-six billion, two million, seven hundred thirty-one thousand, three hundred sixty".