86753399335768 has 32 divisors (see below), whose sum is σ = 181225669800960. Its totient is φ = 38594355602080.

The previous prime is 86753399335763. The next prime is 86753399335781.

86753399335768 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86753399335768² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86753399335691 and 86753399335700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86753399335763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10487592496 + ... + 10487600767.

It is an arithmetic number, because the mean of its divisors is an integer number (5663302181280).

Almost surely, 2^{86753399335768} is an apocalyptic number.

86753399335768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86753399335768 is an abundant number, since it is smaller than the sum of its proper divisors (94472270465192).

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

86753399335768 is a wasteful number, since it uses less digits than its factorization.

86753399335768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20975193327 (or 20975193323 counting only the distinct ones).

The product of its digits is 18517766400, while the sum is 82.

The spelling of 86753399335768 in words is "eighty-six trillion, seven hundred fifty-three billion, three hundred ninety-nine million, three hundred thirty-five thousand, seven hundred sixty-eight".