26077336954240 has 1152 divisors, whose sum is σ = 79352328767040. Its totient is φ = 8164579737600.

The previous prime is 26077336954237. The next prime is 26077336954261. The reversal of 26077336954240 is 4245963377062.

26077336954240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26077336954240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12341379424 + ... + 12341381536.

Almost surely, 2^{26077336954240} is an apocalyptic number.

26077336954240 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 26077336954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39676164383520).

26077336954240 is an abundant number, since it is smaller than the sum of its proper divisors (53274991812800).

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

26077336954240 is a wasteful number, since it uses less digits than its factorization.

26077336954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 58.

The spelling of 26077336954240 in words is "twenty-six trillion, seventy-seven billion, three hundred thirty-six million, nine hundred fifty-four thousand, two hundred forty".