26097490224000 has 2048 divisors, whose sum is σ = 111761814528000. Its totient is φ = 5931955814400.

The previous prime is 26097490223999. The next prime is 26097490224031. The reversal of 26097490224000 is 42209479062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3745868517 + ... + 3745875483.

It is an arithmetic number, because the mean of its divisors is an integer number (54571198500).

Almost surely, 2^{26097490224000} is an apocalyptic number.

26097490224000 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 26097490224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55880907264000).

26097490224000 is an abundant number, since it is smaller than the sum of its proper divisors (85664324304000).

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

26097490224000 is a wasteful number, since it uses less digits than its factorization.

26097490224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26097490224000 in words is "twenty-six trillion, ninety-seven billion, four hundred ninety million, two hundred twenty-four thousand".