86749385184 has 720 divisors, whose sum is σ = 334371856896. Its totient is φ = 21794572800.

The previous prime is 86749385137. The next prime is 86749385201. The reversal of 86749385184 is 48158394768.

86749385184 is a `hidden beast` number, since 8 + 6 + 74 + 9 + 385 + 184 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43308727 + ... + 43310729.

Almost surely, 2^86749385184 is an apocalyptic number.

86749385184 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

86749385184 is the 186279-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86749385184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167185928448).

86749385184 is an abundant number, since it is smaller than the sum of its proper divisors (247622471712).

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

86749385184 is a wasteful number, since it uses less digits than its factorization.

86749385184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2057 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 86749385184 in words is "eighty-six billion, seven hundred forty-nine million, three hundred eighty-five thousand, one hundred eighty-four".