86326600042188 has 288 divisors, whose sum is σ = 250483836395520. Its totient is φ = 25776922248000.

The previous prime is 86326600042187. The next prime is 86326600042211. The reversal of 86326600042188 is 88124000662368.

86326600042188 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 6 + 600 + 0 + 4 + 21 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86326600042187) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1420305583 + ... + 1420366361.

It is an arithmetic number, because the mean of its divisors is an integer number (869735543040).

Almost surely, 2^{86326600042188} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86326600042188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125241918197760).

86326600042188 is an abundant number, since it is smaller than the sum of its proper divisors (164157236353332).

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

86326600042188 is a wasteful number, since it uses less digits than its factorization.

86326600042188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62751 (or 62737 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 86326600042188 in words is "eighty-six trillion, three hundred twenty-six billion, six hundred million, forty-two thousand, one hundred eighty-eight".