26563403412 has 480 divisors, whose sum is σ = 90431953920. Its totient is φ = 6610222080.

The previous prime is 26563403401. The next prime is 26563403413. The reversal of 26563403412 is 21430436562.

26563403412 is a `hidden beast` number, since 2 + 6 + 5 + 634 + 0 + 3 + 4 + 12 = 666.

It is a super-2 number, since 2×26563403412² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26563403413) 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 159 ways as a sum of consecutive naturals, for example, 40186362 + ... + 40187022.

It is an arithmetic number, because the mean of its divisors is an integer number (188399904).

Almost surely, 2^26563403412 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 26563403412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45215976960).

26563403412 is an abundant number, since it is smaller than the sum of its proper divisors (63868550508).

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

26563403412 is a wasteful number, since it uses less digits than its factorization.

26563403412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 26563403412 its reverse (21430436562), we get a palindrome (47993839974).

The spelling of 26563403412 in words is "twenty-six billion, five hundred sixty-three million, four hundred three thousand, four hundred twelve".