26278431168 has 224 divisors, whose sum is σ = 79783667712. Its totient is φ = 7559884800.

The previous prime is 26278431149. The next prime is 26278431181. The reversal of 26278431168 is 86113487262.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3466230 + ... + 3473802.

It is an arithmetic number, because the mean of its divisors is an integer number (356177088).

Almost surely, 2^26278431168 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 26278431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39891833856).

26278431168 is an abundant number, since it is smaller than the sum of its proper divisors (53505236544).

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

26278431168 is a wasteful number, since it uses less digits than its factorization.

26278431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7673 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

It can be divided in two parts, 26278 and 431168, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 26278431168 in words is "twenty-six billion, two hundred seventy-eight million, four hundred thirty-one thousand, one hundred sixty-eight".