26252867404800 has 1056 divisors, whose sum is σ = 100910641305600. Its totient is φ = 6675682590720.

The previous prime is 26252867404789. The next prime is 26252867404801. The reversal of 26252867404800 is 840476825262.

26252867404800 is a `hidden beast` number, since 2 + 6 + 2 + 528 + 6 + 74 + 0 + 48 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (26252867404801) by changing a digit.

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, 5516464821 + ... + 5516469579.

Almost surely, 2^{26252867404800} is an apocalyptic number.

26252867404800 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 26252867404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455320652800).

26252867404800 is an abundant number, since it is smaller than the sum of its proper divisors (74657773900800).

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

26252867404800 is a wasteful number, since it uses less digits than its factorization.

26252867404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 26252867404800 in words is "twenty-six trillion, two hundred fifty-two billion, eight hundred sixty-seven million, four hundred four thousand, eight hundred".