26496983251200 has 3456 divisors, whose sum is σ = 121090489712640. Its totient is φ = 4933877760000.

The previous prime is 26496983251133. The next prime is 26496983251259. The reversal of 26496983251200 is 215238969462.

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 383 ways as a sum of consecutive naturals, for example, 55317292561 + ... + 55317293039.

It is an arithmetic number, because the mean of its divisors is an integer number (35037757440).

Almost surely, 2^{26496983251200} is an apocalyptic number.

26496983251200 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 26496983251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60545244856320).

26496983251200 is an abundant number, since it is smaller than the sum of its proper divisors (94593506461440).

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

26496983251200 is a wasteful number, since it uses less digits than its factorization.

26496983251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 26496983251200 in words is "twenty-six trillion, four hundred ninety-six billion, nine hundred eighty-three million, two hundred fifty-one thousand, two hundred".