26112216631000 has 256 divisors, whose sum is σ = 65353695264000. Its totient is φ = 9731183616000.

The previous prime is 26112216630961. The next prime is 26112216631001. The reversal of 26112216631000 is 13661221162.

It is a happy number.

It is a super-2 number, since 2×26112216631000² (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 (26112216631001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666431410 + ... + 666470590.

It is an arithmetic number, because the mean of its divisors is an integer number (255287872125).

Almost surely, 2^{26112216631000} is an apocalyptic number.

26112216631000 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 26112216631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32676847632000).

26112216631000 is an abundant number, since it is smaller than the sum of its proper divisors (39241478633000).

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

26112216631000 is a wasteful number, since it uses less digits than its factorization.

26112216631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39615 (or 39601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 26112216631000 its reverse (13661221162), we get a palindrome (26125877852162).

The spelling of 26112216631000 in words is "twenty-six trillion, one hundred twelve billion, two hundred sixteen million, six hundred thirty-one thousand".