26720005440 has 112 divisors (see below), whose sum is σ = 85055293440. Its totient is φ = 7106918400.

The previous prime is 26720005427. The next prime is 26720005447. The reversal of 26720005440 is 4450002762.

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

It is a junction number, because it is equal to n+sod(n) for n = 26720005398 and 26720005407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26720005447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337665 + ... + 409215.

Almost surely, 2^26720005440 is an apocalyptic number.

26720005440 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 26720005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42527646720).

26720005440 is an abundant number, since it is smaller than the sum of its proper divisors (58335288000).

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

26720005440 is a wasteful number, since it uses less digits than its factorization.

26720005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71960 (or 71950 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 26720005440 in words is "twenty-six billion, seven hundred twenty million, five thousand, four hundred forty".