26352078224640 has 576 divisors, whose sum is σ = 98590485159936. Its totient is φ = 5873180737536.

The previous prime is 26352078224611. The next prime is 26352078224729. The reversal of 26352078224640 is 4642287025362.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685393897 + ... + 685432343.

It is an arithmetic number, because the mean of its divisors is an integer number (171164036736).

Almost surely, 2^{26352078224640} is an apocalyptic number.

26352078224640 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 26352078224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49295242579968).

26352078224640 is an abundant number, since it is smaller than the sum of its proper divisors (72238406935296).

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

26352078224640 is a wasteful number, since it uses less digits than its factorization.

26352078224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39114 (or 39100 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 26352078224640 in words is "twenty-six trillion, three hundred fifty-two billion, seventy-eight million, two hundred twenty-four thousand, six hundred forty".