86265077760 has 560 divisors, whose sum is σ = 313432216416. Its totient is φ = 22789029888.

The previous prime is 86265077707. The next prime is 86265077761. The reversal of 86265077760 is 6777056268.

86265077760 is a `hidden beast` number, since 8 + 6 + 2 + 6 + 507 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86265077697 and 86265077706.

It is not an unprimeable number, because it can be changed into a prime (86265077761) by changing a digit.

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, 806215627 + ... + 806215733.

Almost surely, 2^86265077760 is an apocalyptic number.

86265077760 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 86265077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156716108208).

86265077760 is an abundant number, since it is smaller than the sum of its proper divisors (227167138656).

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

86265077760 is an frugal number, since it uses more digits than its factorization.

86265077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 86265077760 in words is "eighty-six billion, two hundred sixty-five million, seventy-seven thousand, seven hundred sixty".