86935253968 has 80 divisors (see below), whose sum is σ = 175768750080. Its totient is φ = 41619916800.

The previous prime is 86935253957. The next prime is 86935253969.

86935253968 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86935253969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12346993 + ... + 12354031.

It is an arithmetic number, because the mean of its divisors is an integer number (2197109376).

Almost surely, 2^86935253968 is an apocalyptic number.

It is an amenable number.

86935253968 is an abundant number, since it is smaller than the sum of its proper divisors (88833496112).

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

86935253968 is a wasteful number, since it uses less digits than its factorization.

86935253968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7436 (or 7430 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 64.

The spelling of 86935253968 in words is "eighty-six billion, nine hundred thirty-five million, two hundred fifty-three thousand, nine hundred sixty-eight".