86074110720 has 432 divisors, whose sum is σ = 334673277120. Its totient is φ = 20265467904.

The previous prime is 86074110653. The next prime is 86074110739. The reversal of 86074110720 is 2701147068.

86074110720 is a `hidden beast` number, since 8 + 607 + 41 + 1 + 0 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431986 + ... + 3456974.

It is an arithmetic number, because the mean of its divisors is an integer number (774706660).

Almost surely, 2^86074110720 is an apocalyptic number.

86074110720 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 86074110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167336638560).

86074110720 is an abundant number, since it is smaller than the sum of its proper divisors (248599166400).

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

86074110720 is a wasteful number, since it uses less digits than its factorization.

86074110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25052 (or 25035 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 86074110720 its reverse (2701147068), we get a palindrome (88775257788).

The spelling of 86074110720 in words is "eighty-six billion, seventy-four million, one hundred ten thousand, seven hundred twenty".