86260127040 has 280 divisors, whose sum is σ = 324893662632. Its totient is φ = 21649489920.

The previous prime is 86260127039. The next prime is 86260127059. The reversal of 86260127040 is 4072106268.

86260127040 is a `hidden beast` number, since 8 + 6 + 2 + 601 + 2 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30284352576 + 55975774464 = 174024^2 + 236592^2 .

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 = 86260126986 and 86260127004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342760 + ... + 538520.

Almost surely, 2^86260127040 is an apocalyptic number.

86260127040 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 86260127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162446831316).

86260127040 is an abundant number, since it is smaller than the sum of its proper divisors (238633535592).

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

86260127040 is a wasteful number, since it uses less digits than its factorization.

86260127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195807 (or 195788 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 86260127040 in words is "eighty-six billion, two hundred sixty million, one hundred twenty-seven thousand, forty".