26450023564800 has 840 divisors, whose sum is σ = 107185564874520. Its totient is φ = 6412102041600.

The previous prime is 26450023564799. The next prime is 26450023564823. The reversal of 26450023564800 is 846532005462.

26450023564800 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 0 + 0 + 2 + 3 + 564 + 80 + 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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 102514356 + ... + 102772044.

Almost surely, 2^{26450023564800} is an apocalyptic number.

26450023564800 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 26450023564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53592782437260).

26450023564800 is an abundant number, since it is smaller than the sum of its proper divisors (80735541309720).

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

26450023564800 is an equidigital number, since it uses as much as digits as its factorization.

26450023564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257746 (or 257710 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 26450023564800 in words is "twenty-six trillion, four hundred fifty billion, twenty-three million, five hundred sixty-four thousand, eight hundred".