86831136000 has 1152 divisors, whose sum is σ = 374984064000. Its totient is φ = 19779379200.

The previous prime is 86831135947. The next prime is 86831136001. The reversal of 86831136000 is 63113868.

86831136000 is a `hidden beast` number, since 8 + 6 + 8 + 31 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86831136001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 296351854 + ... + 296352146.

It is an arithmetic number, because the mean of its divisors is an integer number (325507000).

Almost surely, 2^86831136000 is an apocalyptic number.

86831136000 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 86831136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187492032000).

86831136000 is an abundant number, since it is smaller than the sum of its proper divisors (288152928000).

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

86831136000 is an equidigital number, since it uses as much as digits as its factorization.

86831136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 86831136000 its reverse (63113868), we get a palindrome (86894249868).

The spelling of 86831136000 in words is "eighty-six billion, eight hundred thirty-one million, one hundred thirty-six thousand".