26540005632000 has 2304 divisors, whose sum is σ = 107909883244800. Its totient is φ = 5766787891200.

The previous prime is 26540005631989. The next prime is 26540005632013. The reversal of 26540005632000 is 23650004562.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90580223854 + ... + 90580224146.

It is an arithmetic number, because the mean of its divisors is an integer number (46835886825).

Almost surely, 2^{26540005632000} is an apocalyptic number.

26540005632000 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 26540005632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53954941622400).

26540005632000 is an abundant number, since it is smaller than the sum of its proper divisors (81369877612800).

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

26540005632000 is a wasteful number, since it uses less digits than its factorization.

26540005632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 26540005632000 its reverse (23650004562), we get a palindrome (26563655636562).

The spelling of 26540005632000 in words is "twenty-six trillion, five hundred forty billion, five million, six hundred thirty-two thousand".