26780507040 has 768 divisors, whose sum is σ = 104509440000. Its totient is φ = 5753180160.

The previous prime is 26780507029. The next prime is 26780507051. The reversal of 26780507040 is 4070508762.

It is an interprime number because it is at equal distance from previous prime (26780507029) and next prime (26780507051).

It is a self number, because there is not a number n which added to its sum of digits gives 26780507040.

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 127 ways as a sum of consecutive naturals, for example, 338993721 + ... + 338993799.

It is an arithmetic number, because the mean of its divisors is an integer number (136080000).

Almost surely, 2^26780507040 is an apocalyptic number.

26780507040 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 26780507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720000).

26780507040 is an abundant number, since it is smaller than the sum of its proper divisors (77728932960).

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

26780507040 is a wasteful number, since it uses less digits than its factorization.

26780507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 26780507040 in words is "twenty-six billion, seven hundred eighty million, five hundred seven thousand, forty".