26757420480 has 336 divisors, whose sum is σ = 106456057344. Its totient is φ = 6041917440.

The previous prime is 26757420479. The next prime is 26757420527. The reversal of 26757420480 is 8402475762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1665285 + ... + 1681275.

It is an arithmetic number, because the mean of its divisors is an integer number (316833504).

Almost surely, 2^26757420480 is an apocalyptic number.

26757420480 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 26757420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53228028672).

26757420480 is an abundant number, since it is smaller than the sum of its proper divisors (79698636864).

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

26757420480 is a wasteful number, since it uses less digits than its factorization.

26757420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 26757420480 in words is "twenty-six billion, seven hundred fifty-seven million, four hundred twenty thousand, four hundred eighty".