26515542160 has 160 divisors (see below), whose sum is σ = 64862143200. Its totient is φ = 10067312640.

The previous prime is 26515542143. The next prime is 26515542161. The reversal of 26515542160 is 6124551562.

It can be written as a sum of positive squares in 16 ways, for example, as 2672476416 + 23843065744 = 51696^2 + 154412^2 .

It is a super-4 number, since 4×26515542160⁴ (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (26515542161) by changing a digit.

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, 58020652 + ... + 58021108.

It is an arithmetic number, because the mean of its divisors is an integer number (405388395).

Almost surely, 2^26515542160 is an apocalyptic number.

26515542160 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 26515542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32431071600).

26515542160 is an abundant number, since it is smaller than the sum of its proper divisors (38346601040).

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

26515542160 is a wasteful number, since it uses less digits than its factorization.

26515542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 26515542160 in words is "twenty-six billion, five hundred fifteen million, five hundred forty-two thousand, one hundred sixty".