26454556800 has 1536 divisors, whose sum is σ = 122392166400. Its totient is φ = 5441126400.

The previous prime is 26454556763. The next prime is 26454556847. The reversal of 26454556800 is 865545462.

26454556800 is a `hidden beast` number, since 2 + 6 + 45 + 45 + 568 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 191 ways as a sum of consecutive naturals, for example, 318729559 + ... + 318729641.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^26454556800 is an apocalyptic number.

26454556800 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 26454556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196083200).

26454556800 is an abundant number, since it is smaller than the sum of its proper divisors (95937609600).

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

26454556800 is a wasteful number, since it uses less digits than its factorization.

26454556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 26454556800 in words is "twenty-six billion, four hundred fifty-four million, five hundred fifty-six thousand, eight hundred".