26298966133440 has 5376 divisors, whose sum is σ = 133263795732480. Its totient is φ = 4853418393600.

The previous prime is 26298966133423. The next prime is 26298966133507. The reversal of 26298966133440 is 4433166989262.

26298966133440 is a `hidden beast` number, since 2 + 6 + 2 + 9 + 8 + 9 + 6 + 613 + 3 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 152017145194 + ... + 152017145366.

It is an arithmetic number, because the mean of its divisors is an integer number (24788652480).

Almost surely, 2^{26298966133440} is an apocalyptic number.

26298966133440 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 26298966133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66631897866240).

26298966133440 is an abundant number, since it is smaller than the sum of its proper divisors (106964829599040).

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

26298966133440 is a wasteful number, since it uses less digits than its factorization.

26298966133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 26298966133440 in words is "twenty-six trillion, two hundred ninety-eight billion, nine hundred sixty-six million, one hundred thirty-three thousand, four hundred forty".