86058720000 has 720 divisors, whose sum is σ = 347113388160. Its totient is φ = 20851200000.

The previous prime is 86058719917. The next prime is 86058720019. The reversal of 86058720000 is 2785068.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×86058720000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47519095 + ... + 47520905.

It is an arithmetic number, because the mean of its divisors is an integer number (482101928).

Almost surely, 2^86058720000 is an apocalyptic number.

86058720000 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 86058720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173556694080).

86058720000 is an abundant number, since it is smaller than the sum of its proper divisors (261054668160).

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

86058720000 is a wasteful number, since it uses less digits than its factorization.

86058720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 86058720000 in words is "eighty-six billion, fifty-eight million, seven hundred twenty thousand".