26879620141440 has 1280 divisors, whose sum is σ = 108550042444800. Its totient is φ = 6282019307520.

The previous prime is 26879620141433. The next prime is 26879620141511. The reversal of 26879620141440 is 4414102697862.

26879620141440 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 9 + 620 + 1 + 4 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1795678276 + ... + 1795693244.

It is an arithmetic number, because the mean of its divisors is an integer number (84804720660).

Almost surely, 2^{26879620141440} is an apocalyptic number.

26879620141440 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 26879620141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54275021222400).

26879620141440 is an abundant number, since it is smaller than the sum of its proper divisors (81670422303360).

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

26879620141440 is a wasteful number, since it uses less digits than its factorization.

26879620141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15125 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26879620141440 in words is "twenty-six trillion, eight hundred seventy-nine billion, six hundred twenty million, one hundred forty-one thousand, four hundred forty".