26791880544 has 768 divisors, whose sum is σ = 98456601600. Its totient is φ = 6967296000.

The previous prime is 26791880543. The next prime is 26791880551. The reversal of 26791880544 is 44508819762.

It is a happy number.

26791880544 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 18 + 80 + 544 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26791880543) 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 127 ways as a sum of consecutive naturals, for example, 237096232 + ... + 237096344.

It is an arithmetic number, because the mean of its divisors is an integer number (128198700).

Almost surely, 2^26791880544 is an apocalyptic number.

26791880544 is a gapful number since it is divisible by the number (24) 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 26791880544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49228300800).

26791880544 is an abundant number, since it is smaller than the sum of its proper divisors (71664721056).

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

26791880544 is a wasteful number, since it uses less digits than its factorization.

26791880544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 26791880544 in words is "twenty-six billion, seven hundred ninety-one million, eight hundred eighty thousand, five hundred forty-four".