26671236463872 has 1728 divisors, whose sum is σ = 107184455884800. Its totient is φ = 6317804666880.

The previous prime is 26671236463831. The next prime is 26671236463903. The reversal of 26671236463872 is 27836463217662.

26671236463872 is a `hidden beast` number, since 2 + 6 + 6 + 71 + 2 + 36 + 463 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×26671236463872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111595131529 + ... + 111595131767.

It is an arithmetic number, because the mean of its divisors is an integer number (62028041600).

Almost surely, 2^{26671236463872} is an apocalyptic number.

26671236463872 is a gapful number since it is divisible by the number (22) 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 26671236463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53592227942400).

26671236463872 is an abundant number, since it is smaller than the sum of its proper divisors (80513219420928).

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

26671236463872 is a wasteful number, since it uses less digits than its factorization.

26671236463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 402 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 26671236463872 in words is "twenty-six trillion, six hundred seventy-one billion, two hundred thirty-six million, four hundred sixty-three thousand, eight hundred seventy-two".