86198062000 has 80 divisors (see below), whose sum is σ = 208987507872. Its totient is φ = 34386489600.

The previous prime is 86198061997. The next prime is 86198062007. The reversal of 86198062000 is 26089168.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (86198062007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688227 + ... + 803773.

Almost surely, 2^86198062000 is an apocalyptic number.

86198062000 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 86198062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104493753936).

86198062000 is an abundant number, since it is smaller than the sum of its proper divisors (122789445872).

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

86198062000 is a wasteful number, since it uses less digits than its factorization.

86198062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115943 (or 115927 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 86198062000 in words is "eighty-six billion, one hundred ninety-eight million, sixty-two thousand".