86611721040 has 320 divisors, whose sum is σ = 340178227200. Its totient is φ = 20065591296.

The previous prime is 86611721017. The next prime is 86611721051. The reversal of 86611721040 is 4012711668.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 86611720986 and 86611721004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386641 + ... + 568079.

It is an arithmetic number, because the mean of its divisors is an integer number (1063056960).

Almost surely, 2^86611721040 is an apocalyptic number.

86611721040 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 86611721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089113600).

86611721040 is an abundant number, since it is smaller than the sum of its proper divisors (253566506160).

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

86611721040 is a wasteful number, since it uses less digits than its factorization.

86611721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181491 (or 181479 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 86611721040 in words is "eighty-six billion, six hundred eleven million, seven hundred twenty-one thousand, forty".