86588928000 has 1248 divisors, whose sum is σ = 350831669760. Its totient is φ = 20437401600.

The previous prime is 86588927983. The next prime is 86588928047. The reversal of 86588928000 is 82988568.

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, 2013695979 + ... + 2013696021.

It is an arithmetic number, because the mean of its divisors is an integer number (281115120).

Almost surely, 2^86588928000 is an apocalyptic number.

86588928000 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 86588928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175415834880).

86588928000 is an abundant number, since it is smaller than the sum of its proper divisors (264242741760).

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

86588928000 is a wasteful number, since it uses less digits than its factorization.

86588928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 86588928000 in words is "eighty-six billion, five hundred eighty-eight million, nine hundred twenty-eight thousand".