26006316576000 has 1152 divisors, whose sum is σ = 97602229670400. Its totient is φ = 6098308300800.

The previous prime is 26006316575989. The next prime is 26006316576007. The reversal of 26006316576000 is 67561360062.

It is a super-2 number, since 2×26006316576000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26006316576007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2263578256 + ... + 2263589744.

It is an arithmetic number, because the mean of its divisors is an integer number (84724157700).

Almost surely, 2^{26006316576000} is an apocalyptic number.

26006316576000 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 26006316576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48801114835200).

26006316576000 is an abundant number, since it is smaller than the sum of its proper divisors (71595913094400).

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

26006316576000 is a wasteful number, since it uses less digits than its factorization.

26006316576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 26006316576000 in words is "twenty-six trillion, six billion, three hundred sixteen million, five hundred seventy-six thousand".