86953584317782 has 128 divisors (see below), whose sum is σ = 174463083970560. Its totient is φ = 31543535600640.

The previous prime is 86953584317701. The next prime is 86953584317849. The reversal of 86953584317782 is 28771348535968.

It is a happy number.

It is a super-2 number, since 2×86953584317782² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86953584317699 and 86953584317708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15591208 + ... + 20420404.

It is an arithmetic number, because the mean of its divisors is an integer number (1362992843520).

Almost surely, 2^{86953584317782} is an apocalyptic number.

86953584317782 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

86953584317782 is an abundant number, since it is smaller than the sum of its proper divisors (87509499652778).

86953584317782 is a wasteful number, since it uses less digits than its factorization.

86953584317782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829406.

The product of its digits is 2438553600, while the sum is 76.

The spelling of 86953584317782 in words is "eighty-six trillion, nine hundred fifty-three billion, five hundred eighty-four million, three hundred seventeen thousand, seven hundred eighty-two".