26934630105600 has 960 divisors, whose sum is σ = 114382225140480. Its totient is φ = 6156442091520.

The previous prime is 26934630105557. The next prime is 26934630105671. The reversal of 26934630105600 is 650103643962.

26934630105600 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 4 + 6 + 30 + 1 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 195886474 + ... + 196023926.

It is an arithmetic number, because the mean of its divisors is an integer number (119148151188).

Almost surely, 2^{26934630105600} is an apocalyptic number.

26934630105600 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 26934630105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57191112570240).

26934630105600 is an abundant number, since it is smaller than the sum of its proper divisors (87447595034880).

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

26934630105600 is an frugal number, since it uses more digits than its factorization.

26934630105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137509 (or 137470 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 26934630105600 in words is "twenty-six trillion, nine hundred thirty-four billion, six hundred thirty million, one hundred five thousand, six hundred".