26403481792800 has 1458 divisors, whose sum is σ = 111540799640907. Its totient is φ = 5859979776000.

The previous prime is 26403481792799. The next prime is 26403481792811. The reversal of 26403481792800 is 829718430462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26403481792800 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 348 + 17 + 9 + 280 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 166180153104 + 26237301639696 = 407652^2 + 5122236^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3633420.

It is a super-2 number, since 2×26403481792800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 125134984695 + ... + 125134984905.

Almost surely, 2^{26403481792800} is an apocalyptic number.

26403481792800 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 26403481792800

26403481792800 is an abundant number, since it is smaller than the sum of its proper divisors (85137317848107).

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

26403481792800 is a wasteful number, since it uses less digits than its factorization.

26403481792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26403481792800 in words is "twenty-six trillion, four hundred three billion, four hundred eighty-one million, seven hundred ninety-two thousand, eight hundred".