26233516022400 has 576 divisors, whose sum is σ = 99509684320800. Its totient is φ = 6561782784000.

The previous prime is 26233516022341. The next prime is 26233516022411. The reversal of 26233516022400 is 422061533262.

26233516022400 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 3 + 5 + 1 + 602 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55029867 + ... + 55504533.

Almost surely, 2^{26233516022400} is an apocalyptic number.

26233516022400 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 26233516022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49754842160400).

26233516022400 is an abundant number, since it is smaller than the sum of its proper divisors (73276168298400).

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

26233516022400 is a wasteful number, since it uses less digits than its factorization.

26233516022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474817 (or 474797 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 26233516022400 its reverse (422061533262), we get a palindrome (26655577555662).

The spelling of 26233516022400 in words is "twenty-six trillion, two hundred thirty-three billion, five hundred sixteen million, twenty-two thousand, four hundred".