26801348040 has 320 divisors, whose sum is σ = 91948887360. Its totient is φ = 7000266240.

The previous prime is 26801348039. The next prime is 26801348053. The reversal of 26801348040 is 4084310862.

It is a super-2 number, since 2×26801348040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26801347986 and 26801348004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71853294 + ... + 71853666.

It is an arithmetic number, because the mean of its divisors is an integer number (287340273).

Almost surely, 2^26801348040 is an apocalyptic number.

26801348040 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 26801348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45974443680).

26801348040 is an abundant number, since it is smaller than the sum of its proper divisors (65147539320).

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

26801348040 is a wasteful number, since it uses less digits than its factorization.

26801348040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 26801348040 in words is "twenty-six billion, eight hundred one million, three hundred forty-eight thousand, forty".