26934106656000 has 288 divisors, whose sum is σ = 89477916772608. Its totient is φ = 7181121331200.

The previous prime is 26934106655987. The next prime is 26934106656001. The reversal of 26934106656000 is 65660143962.

It is a happy number.

It is a super-2 number, since 2×26934106656000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26934106656001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601225602 + ... + 601270398.

It is an arithmetic number, because the mean of its divisors is an integer number (310687211016).

Almost surely, 2^{26934106656000} is an apocalyptic number.

26934106656000 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 26934106656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44738958386304).

26934106656000 is an abundant number, since it is smaller than the sum of its proper divisors (62543810116608).

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

26934106656000 is an equidigital number, since it uses as much as digits as its factorization.

26934106656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51094 (or 51070 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

Adding to 26934106656000 its reverse (65660143962), we get a palindrome (26999766799962).

The spelling of 26934106656000 in words is "twenty-six trillion, nine hundred thirty-four billion, one hundred six million, six hundred fifty-six thousand".