26586863364840 has 256 divisors, whose sum is σ = 83983173857280. Its totient is φ = 6720106229760.

The previous prime is 26586863364821. The next prime is 26586863364857. The reversal of 26586863364840 is 4846336868562.

It is a super-2 number, since 2×26586863364840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 2795375685 + ... + 2795385195.

It is an arithmetic number, because the mean of its divisors is an integer number (328059272880).

Almost surely, 2^{26586863364840} is an apocalyptic number.

26586863364840 is a gapful number since it is divisible by the number (20) 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 26586863364840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41991586928640).

26586863364840 is an abundant number, since it is smaller than the sum of its proper divisors (57396310492440).

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

26586863364840 is a wasteful number, since it uses less digits than its factorization.

26586863364840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18624 (or 18620 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 69.

The spelling of 26586863364840 in words is "twenty-six trillion, five hundred eighty-six billion, eight hundred sixty-three million, three hundred sixty-four thousand, eight hundred forty".