26404241160 has 256 divisors, whose sum is σ = 89016744960. Its totient is φ = 6210247680.

The previous prime is 26404241159. The next prime is 26404241207. The reversal of 26404241160 is 6114240462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8909839 + ... + 8912801.

It is an arithmetic number, because the mean of its divisors is an integer number (347721660).

Almost surely, 2^26404241160 is an apocalyptic number.

26404241160 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 26404241160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44508372480).

26404241160 is an abundant number, since it is smaller than the sum of its proper divisors (62612503800).

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

26404241160 is a wasteful number, since it uses less digits than its factorization.

26404241160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 26404241160 in words is "twenty-six billion, four hundred four million, two hundred forty-one thousand, one hundred sixty".