26303194374912 has 2160 divisors, whose sum is σ = 103578578906880. Its totient is φ = 6463389302784.

The previous prime is 26303194374901. The next prime is 26303194374917. The reversal of 26303194374912 is 21947349130362.

26303194374912 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 31 + 94 + 37 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26303194374917) 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 239 ways as a sum of consecutive naturals, for example, 75801712723 + ... + 75801713069.

Almost surely, 2^{26303194374912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26303194374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51789289453440).

26303194374912 is an abundant number, since it is smaller than the sum of its proper divisors (77275384531968).

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

26303194374912 is a wasteful number, since it uses less digits than its factorization.

26303194374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 26303194374912 in words is "twenty-six trillion, three hundred three billion, one hundred ninety-four million, three hundred seventy-four thousand, nine hundred twelve".