26112833049600 has 3168 divisors, whose sum is σ = 110692116501120. Its totient is φ = 6022221004800.

The previous prime is 26112833049593. The next prime is 26112833049607. The reversal of 26112833049600 is 694033821162.

26112833049600 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 2 + 8 + 3 + 30 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (26112833049593) and next prime (26112833049607).

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26112833049607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190604620732 + ... + 190604620868.

It is an arithmetic number, because the mean of its divisors is an integer number (34940693340).

Almost surely, 2^{26112833049600} is an apocalyptic number.

26112833049600 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 26112833049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55346058250560).

26112833049600 is an abundant number, since it is smaller than the sum of its proper divisors (84579283451520).

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

26112833049600 is a wasteful number, since it uses less digits than its factorization.

26112833049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26112833049600 in words is "twenty-six trillion, one hundred twelve billion, eight hundred thirty-three million, forty-nine thousand, six hundred".