86281340724 has 144 divisors (see below), whose sum is σ = 237149640000. Its totient is φ = 27123926976.

The previous prime is 86281340713. The next prime is 86281340741. The reversal of 86281340724 is 42704318268.

It is a happy number.

86281340724 is a `hidden beast` number, since 8 + 6 + 281 + 340 + 7 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86281340724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8845402 + ... + 8855150.

It is an arithmetic number, because the mean of its divisors is an integer number (1646872500).

Almost surely, 2^86281340724 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 86281340724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118574820000).

86281340724 is an abundant number, since it is smaller than the sum of its proper divisors (150868299276).

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

86281340724 is a wasteful number, since it uses less digits than its factorization.

86281340724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 86281340724 in words is "eighty-six billion, two hundred eighty-one million, three hundred forty thousand, seven hundred twenty-four".