26513526960 has 160 divisors (see below), whose sum is σ = 91624135680. Its totient is φ = 7047067392.

The previous prime is 26513526937. The next prime is 26513526971. The reversal of 26513526960 is 6962531562.

26513526960 is a `hidden beast` number, since 2 + 65 + 1 + 3 + 526 + 9 + 60 = 666.

It is a super-2 number, since 2×26513526960² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643129 + ... + 683111.

It is an arithmetic number, because the mean of its divisors is an integer number (572650848).

Almost surely, 2^26513526960 is an apocalyptic number.

26513526960 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 26513526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812067840).

26513526960 is an abundant number, since it is smaller than the sum of its proper divisors (65110608720).

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

26513526960 is a wasteful number, since it uses less digits than its factorization.

26513526960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40312 (or 40300 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 26513526960 in words is "twenty-six billion, five hundred thirteen million, five hundred twenty-six thousand, nine hundred sixty".