26353615800960 has 1024 divisors, whose sum is σ = 107651242598400. Its totient is φ = 5968451174400.

The previous prime is 26353615800959. The next prime is 26353615800961. The reversal of 26353615800960 is 6900851635362.

It is a happy number.

26353615800960 is a `hidden beast` number, since 2 + 6 + 3 + 53 + 6 + 1 + 580 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26353615800959) and next prime (26353615800961).

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

It is a junction number, because it is equal to n+sod(n) for n = 26353615800897 and 26353615800906.

It is not an unprimeable number, because it can be changed into a prime (26353615800961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8091375652 + ... + 8091378908.

It is an arithmetic number, because the mean of its divisors is an integer number (105128166600).

Almost surely, 2^{26353615800960} is an apocalyptic number.

26353615800960 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 26353615800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53825621299200).

26353615800960 is an abundant number, since it is smaller than the sum of its proper divisors (81297626797440).

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

26353615800960 is a wasteful number, since it uses less digits than its factorization.

26353615800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 26353615800960 in words is "twenty-six trillion, three hundred fifty-three billion, six hundred fifteen million, eight hundred thousand, nine hundred sixty".