26457124680 has 288 divisors, whose sum is σ = 100227067200. Its totient is φ = 6035081472.

The previous prime is 26457124679. The next prime is 26457124691. The reversal of 26457124680 is 8642175462.

26457124680 is a `hidden beast` number, since 264 + 5 + 71 + 246 + 80 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 10917949 + ... + 10920371.

It is an arithmetic number, because the mean of its divisors is an integer number (348010650).

Almost surely, 2^26457124680 is an apocalyptic number.

26457124680 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 26457124680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50113533600).

26457124680 is an abundant number, since it is smaller than the sum of its proper divisors (73769942520).

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

26457124680 is a wasteful number, since it uses less digits than its factorization.

26457124680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26457124680 in words is "twenty-six billion, four hundred fifty-seven million, one hundred twenty-four thousand, six hundred eighty".