26510112720000 has 1920 divisors, whose sum is σ = 117792643288320. Its totient is φ = 5571072000000.

The previous prime is 26510112719989. The next prime is 26510112720023. The reversal of 26510112720000 is 2721101562.

26510112720000 is a `hidden beast` number, since 2 + 6 + 510 + 1 + 127 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 20376719350 + ... + 20376720650.

It is an arithmetic number, because the mean of its divisors is an integer number (61350335046).

Almost surely, 2^{26510112720000} is an apocalyptic number.

26510112720000 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 26510112720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58896321644160).

26510112720000 is an abundant number, since it is smaller than the sum of its proper divisors (91282530568320).

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

26510112720000 is a wasteful number, since it uses less digits than its factorization.

26510112720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 26510112720000 its reverse (2721101562), we get a palindrome (26512833821562).

The spelling of 26510112720000 in words is "twenty-six trillion, five hundred ten billion, one hundred twelve million, seven hundred twenty thousand".