26961130560 has 224 divisors, whose sum is σ = 105356143872. Its totient is φ = 5688483840.

The previous prime is 26961130529. The next prime is 26961130577. The reversal of 26961130560 is 6503116962.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×26961130560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 66951 + ... + 241670.

It is an arithmetic number, because the mean of its divisors is an integer number (470339928).

Almost surely, 2^26961130560 is an apocalyptic number.

26961130560 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 26961130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678071936).

26961130560 is an abundant number, since it is smaller than the sum of its proper divisors (78395013312).

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

26961130560 is a wasteful number, since it uses less digits than its factorization.

26961130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308661 (or 308651 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 26961130560 in words is "twenty-six billion, nine hundred sixty-one million, one hundred thirty thousand, five hundred sixty".