26400556800 has 540 divisors, whose sum is σ = 98628854016. Its totient is φ = 6967296000.

The previous prime is 26400556769. The next prime is 26400556813. The reversal of 26400556800 is 865500462.

26400556800 is a `hidden beast` number, since 2 + 640 + 0 + 5 + 5 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65836600 + ... + 65837000.

Almost surely, 2^26400556800 is an apocalyptic number.

26400556800 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 26400556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49314427008).

26400556800 is an abundant number, since it is smaller than the sum of its proper divisors (72228297216).

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

26400556800 is a wasteful number, since it uses less digits than its factorization.

26400556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 26400556800 in words is "twenty-six billion, four hundred million, five hundred fifty-six thousand, eight hundred".