26501120010 has 96 divisors (see below), whose sum is σ = 72566544960. Its totient is φ = 6691590144.

The previous prime is 26501119963. The next prime is 26501120039. The reversal of 26501120010 is 1002110562.

26501120010 is a `hidden beast` number, since 2 + 650 + 1 + 1 + 2 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 5909229 + ... + 5913711.

It is an arithmetic number, because the mean of its divisors is an integer number (755901510).

Almost surely, 2^26501120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26501120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283272480).

26501120010 is an abundant number, since it is smaller than the sum of its proper divisors (46065424950).

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

26501120010 is a wasteful number, since it uses less digits than its factorization.

26501120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 26501120010 its reverse (1002110562), we get a palindrome (27503230572).

The spelling of 26501120010 in words is "twenty-six billion, five hundred one million, one hundred twenty thousand, ten".