26583792000000 has 616 divisors, whose sum is σ = 89398382248560. Its totient is φ = 7022592000000.

The previous prime is 26583791999977. The next prime is 26583792000061. The reversal of 26583792000000 is 29738562.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5231997460 + ... + 5232002540.

It is an arithmetic number, because the mean of its divisors is an integer number (145127243910).

Almost surely, 2^{26583792000000} is an apocalyptic number.

26583792000000 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 26583792000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699191124280).

26583792000000 is an abundant number, since it is smaller than the sum of its proper divisors (62814590248560).

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

26583792000000 is an frugal number, since it uses more digits than its factorization.

26583792000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 26583792000000 in words is "twenty-six trillion, five hundred eighty-three billion, seven hundred ninety-two million", and thus it is an aban number.