26245954800 has 480 divisors, whose sum is σ = 101441007360. Its totient is φ = 6406732800.

The previous prime is 26245954783. The next prime is 26245954829. The reversal of 26245954800 is 845954262.

26245954800 is a `hidden beast` number, since 2 + 62 + 45 + 9 + 548 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 18391687 + ... + 18393113.

It is an arithmetic number, because the mean of its divisors is an integer number (211335432).

Almost surely, 2^26245954800 is an apocalyptic number.

26245954800 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 26245954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50720503680).

26245954800 is an abundant number, since it is smaller than the sum of its proper divisors (75195052560).

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

26245954800 is a wasteful number, since it uses less digits than its factorization.

26245954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 26245954800 in words is "twenty-six billion, two hundred forty-five million, nine hundred fifty-four thousand, eight hundred".