26147346560 has 128 divisors (see below), whose sum is σ = 66243063600. Its totient is φ = 9851699200.

The previous prime is 26147346557. The next prime is 26147346607. The reversal of 26147346560 is 6564374162.

It can be written as a sum of positive squares in 8 ways, for example, as 8822469184 + 17324877376 = 93928^2 + 131624^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743780 + ... + 778140.

Almost surely, 2^26147346560 is an apocalyptic number.

26147346560 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 26147346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33121531800).

26147346560 is an abundant number, since it is smaller than the sum of its proper divisors (40095717040).

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

26147346560 is a wasteful number, since it uses less digits than its factorization.

26147346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34450 (or 34438 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 26147346560 in words is "twenty-six billion, one hundred forty-seven million, three hundred forty-six thousand, five hundred sixty".