86823819726000 has 320 divisors, whose sum is σ = 320092584953856. Its totient is φ = 19834028928000.

The previous prime is 86823819725969. The next prime is 86823819726041. The reversal of 86823819726000 is 62791832868.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72528309 + ... + 73715691.

Almost surely, 2^{86823819726000} is an apocalyptic number.

86823819726000 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 86823819726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160046292476928).

86823819726000 is an abundant number, since it is smaller than the sum of its proper divisors (233268765227856).

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

86823819726000 is a wasteful number, since it uses less digits than its factorization.

86823819726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189157 (or 1189141 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 86823819726000 in words is "eighty-six trillion, eight hundred twenty-three billion, eight hundred nineteen million, seven hundred twenty-six thousand".