26068497840 has 480 divisors, whose sum is σ = 113951992320. Its totient is φ = 5416588800.

The previous prime is 26068497817. The next prime is 26068497893. The reversal of 26068497840 is 4879486062.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153045 + ... + 1175435.

It is an arithmetic number, because the mean of its divisors is an integer number (237399984).

Almost surely, 2^26068497840 is an apocalyptic number.

26068497840 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 26068497840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56975996160).

26068497840 is an abundant number, since it is smaller than the sum of its proper divisors (87883494480).

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

26068497840 is a wasteful number, since it uses less digits than its factorization.

26068497840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22438 (or 22419 counting only the distinct ones).

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

It can be divided in two parts, 2606849 and 7840, that added together give a square (2614689 = 1617²).

The spelling of 26068497840 in words is "twenty-six billion, sixty-eight million, four hundred ninety-seven thousand, eight hundred forty".