86586428580 has 192 divisors, whose sum is σ = 249599750400. Its totient is φ = 22420316160.

The previous prime is 86586428563. The next prime is 86586428609. The reversal of 86586428580 is 8582468568.

It is a super-2 number, since 2×86586428580² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151639695 + ... + 151640265.

It is an arithmetic number, because the mean of its divisors is an integer number (1299998700).

Almost surely, 2^86586428580 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 86586428580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124799875200).

86586428580 is an abundant number, since it is smaller than the sum of its proper divisors (163013321820).

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

86586428580 is a wasteful number, since it uses less digits than its factorization.

86586428580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 86586428580 in words is "eighty-six billion, five hundred eighty-six million, four hundred twenty-eight thousand, five hundred eighty".