26581742460 has 360 divisors, whose sum is σ = 104468031360. Its totient is φ = 5608237824.

The previous prime is 26581742443. The next prime is 26581742533. The reversal of 26581742460 is 6424718562.

26581742460 is a `hidden beast` number, since 2 + 6 + 581 + 7 + 4 + 2 + 4 + 60 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1019061 + ... + 1044819.

It is an arithmetic number, because the mean of its divisors is an integer number (290188976).

Almost surely, 2^26581742460 is an apocalyptic number.

26581742460 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 26581742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52234015680).

26581742460 is an abundant number, since it is smaller than the sum of its proper divisors (77886288900).

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

26581742460 is a wasteful number, since it uses less digits than its factorization.

26581742460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25807 (or 25789 counting only the distinct ones).

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

The spelling of 26581742460 in words is "twenty-six billion, five hundred eighty-one million, seven hundred forty-two thousand, four hundred sixty".