26542080000 has 500 divisors, whose sum is σ = 99091386075. Its totient is φ = 7077888000.

The previous prime is 26542079987. The next prime is 26542080011. The reversal of 26542080000 is 8024562.

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.

It is a Jordan-Polya number, since it can be written as (5!)⁴ ⋅ (2!)⁷.

26542080000 is a `hidden beast` number, since 2 + 654 + 2 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6136528896 + 20405551104 = 78336^2 + 142848^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=115200.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 5308415998 + ... + 5308416002.

Almost surely, 2^26542080000 is an apocalyptic number.

26542080000 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 26542080000

26542080000 is an abundant number, since it is smaller than the sum of its proper divisors (72549306075).

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

26542080000 is an frugal number, since it uses more digits than its factorization.

26542080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 26542080000 in words is "twenty-six billion, five hundred forty-two million, eighty thousand".