26542848000 has 768 divisors, whose sum is σ = 99349286400. Its totient is φ = 6252134400.

The previous prime is 26542847939. The next prime is 26542848001. The reversal of 26542848000 is 84824562.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×26542848000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26542848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26542848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248063947 + ... + 248064053.

It is an arithmetic number, because the mean of its divisors is an integer number (129361050).

Almost surely, 2^26542848000 is an apocalyptic number.

26542848000 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 26542848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674643200).

26542848000 is an abundant number, since it is smaller than the sum of its proper divisors (72806438400).

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

26542848000 is a wasteful number, since it uses less digits than its factorization.

26542848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 26542848000 in words is "twenty-six billion, five hundred forty-two million, eight hundred forty-eight thousand".