26407313020 has 96 divisors (see below), whose sum is σ = 63913489920. Its totient is φ = 9064016640.

The previous prime is 26407313011. The next prime is 26407313021. The reversal of 26407313020 is 2031370462.

It is a self number, because there is not a number n which added to its sum of digits gives 26407313020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26407313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146457 + ... + 1169263.

It is an arithmetic number, because the mean of its divisors is an integer number (665765520).

Almost surely, 2^26407313020 is an apocalyptic number.

26407313020 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 26407313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31956744960).

26407313020 is an abundant number, since it is smaller than the sum of its proper divisors (37506176900).

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

26407313020 is a wasteful number, since it uses less digits than its factorization.

26407313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23123 (or 23121 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 26407313020 its reverse (2031370462), we get a palindrome (28438683482).

The spelling of 26407313020 in words is "twenty-six billion, four hundred seven million, three hundred thirteen thousand, twenty".