26478627674112 has 576 divisors, whose sum is σ = 85259268057600. Its totient is φ = 8183626629120.

The previous prime is 26478627674111. The next prime is 26478627674179. The reversal of 26478627674112 is 21147672687462.

It is a happy number.

26478627674112 is a `hidden beast` number, since 2 + 6 + 478 + 62 + 7 + 67 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×26478627674112² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26478627674112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26478627674111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444384162 + ... + 444443742.

It is an arithmetic number, because the mean of its divisors is an integer number (148019562600).

Almost surely, 2^{26478627674112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26478627674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42629634028800).

26478627674112 is an abundant number, since it is smaller than the sum of its proper divisors (58780640383488).

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

26478627674112 is an equidigital number, since it uses as much as digits as its factorization.

26478627674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59684 (or 59652 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 26478627674112 in words is "twenty-six trillion, four hundred seventy-eight billion, six hundred twenty-seven million, six hundred seventy-four thousand, one hundred twelve".