26368037484800 has 432 divisors, whose sum is σ = 72237733822464. Its totient is φ = 9449395200000.

The previous prime is 26368037484799. The next prime is 26368037484829. The reversal of 26368037484800 is 848473086362.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26368037484800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350051035 + ... + 1350070565.

Almost surely, 2^{26368037484800} is an apocalyptic number.

26368037484800 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 26368037484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36118866911232).

26368037484800 is an abundant number, since it is smaller than the sum of its proper divisors (45869696337664).

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

26368037484800 is a wasteful number, since it uses less digits than its factorization.

26368037484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19846 (or 19827 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 59.

The spelling of 26368037484800 in words is "twenty-six trillion, three hundred sixty-eight billion, thirty-seven million, four hundred eighty-four thousand, eight hundred".