86404388103936 has 1728 divisors, whose sum is σ = 311591977804800. Its totient is φ = 23527784448000.

The previous prime is 86404388103931. The next prime is 86404388103941. The reversal of 86404388103936 is 63930188340468.

86404388103936 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 438 + 8 + 103 + 93 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86404388103931) and next prime (86404388103941).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86404388103931) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215472289336 + ... + 215472289736.

It is an arithmetic number, because the mean of its divisors is an integer number (180319431600).

Almost surely, 2^{86404388103936} 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 86404388103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155795988902400).

86404388103936 is an abundant number, since it is smaller than the sum of its proper divisors (225187589700864).

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

86404388103936 is a wasteful number, since it uses less digits than its factorization.

86404388103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 86404388103936 in words is "eighty-six trillion, four hundred four billion, three hundred eighty-eight million, one hundred three thousand, nine hundred thirty-six".