26220541253364 has 288 divisors, whose sum is σ = 70823033881600. Its totient is φ = 8477609817600.

The previous prime is 26220541253363. The next prime is 26220541253383. The reversal of 26220541253364 is 46335214502262.

26220541253364 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 0 + 54 + 1 + 2 + 533 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26220541253363) 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 95 ways as a sum of consecutive naturals, for example, 4749234924 + ... + 4749240444.

Almost surely, 2^{26220541253364} 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 26220541253364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35411516940800).

26220541253364 is an abundant number, since it is smaller than the sum of its proper divisors (44602492628236).

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

26220541253364 is a wasteful number, since it uses less digits than its factorization.

26220541253364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 26220541253364 in words is "twenty-six trillion, two hundred twenty billion, five hundred forty-one million, two hundred fifty-three thousand, three hundred sixty-four".