86468133760 has 32 divisors (see below), whose sum is σ = 206712883800. Its totient is φ = 34587253248.

The previous prime is 86468133749. The next prime is 86468133761. The reversal of 86468133760 is 6733186468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 86468133698 and 86468133707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86468133761) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 67552590 + ... + 67553869.

Almost surely, 2^86468133760 is an apocalyptic number.

86468133760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86468133760 is an abundant number, since it is smaller than the sum of its proper divisors (120244750040).

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

86468133760 is a wasteful number, since it uses less digits than its factorization.

86468133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135106478 (or 135106466 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 86468133760 in words is "eighty-six billion, four hundred sixty-eight million, one hundred thirty-three thousand, seven hundred sixty".