26042839988368 has 320 divisors, whose sum is σ = 61754424606720. Its totient is φ = 10406058854400.

The previous prime is 26042839988317. The next prime is 26042839988371. The reversal of 26042839988368 is 86388993824062.

It is a junction number, because it is equal to n+sod(n) for n = 26042839988294 and 26042839988303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2540016330 + ... + 2540026582.

It is an arithmetic number, because the mean of its divisors is an integer number (192982576896).

Almost surely, 2^{26042839988368} is an apocalyptic number.

26042839988368 is a gapful number since it is divisible by the number (28) 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 26042839988368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30877212303360).

26042839988368 is an abundant number, since it is smaller than the sum of its proper divisors (35711584618352).

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

26042839988368 is a wasteful number, since it uses less digits than its factorization.

26042839988368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 76.

The spelling of 26042839988368 in words is "twenty-six trillion, forty-two billion, eight hundred thirty-nine million, nine hundred eighty-eight thousand, three hundred sixty-eight".