26564141120 has 224 divisors, whose sum is σ = 72093490560. Its totient is φ = 9236643840.

The previous prime is 26564141101. The next prime is 26564141137. The reversal of 26564141120 is 2114146562.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7682432 + ... + 7685888.

It is an arithmetic number, because the mean of its divisors is an integer number (321845940).

Almost surely, 2^26564141120 is an apocalyptic number.

26564141120 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 26564141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046745280).

26564141120 is an abundant number, since it is smaller than the sum of its proper divisors (45529349440).

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

26564141120 is a wasteful number, since it uses less digits than its factorization.

26564141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 26564141120 its reverse (2114146562), we get a palindrome (28678287682).

The spelling of 26564141120 in words is "twenty-six billion, five hundred sixty-four million, one hundred forty-one thousand, one hundred twenty".