26404531020 has 288 divisors, whose sum is σ = 94388112000. Its totient is φ = 5971746816.

The previous prime is 26404531009. The next prime is 26404531033. The reversal of 26404531020 is 2013540462.

26404531020 is a `hidden beast` number, since 2 + 640 + 4 + 5 + 3 + 10 + 2 + 0 = 666.

It is a super-2 number, since 2×26404531020² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5986576 + ... + 5990984.

It is an arithmetic number, because the mean of its divisors is an integer number (327736500).

Almost surely, 2^26404531020 is an apocalyptic number.

26404531020 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 26404531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47194056000).

26404531020 is an abundant number, since it is smaller than the sum of its proper divisors (67983580980).

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

26404531020 is a wasteful number, since it uses less digits than its factorization.

26404531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 26404531020 in words is "twenty-six billion, four hundred four million, five hundred thirty-one thousand, twenty".