26780369280 has 1024 divisors, whose sum is σ = 112803840000. Its totient is φ = 5255331840.

The previous prime is 26780369279. The next prime is 26780369339. The reversal of 26780369280 is 8296308762.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134574621 + ... + 134574819.

It is an arithmetic number, because the mean of its divisors is an integer number (110160000).

Almost surely, 2^26780369280 is an apocalyptic number.

26780369280 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 26780369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56401920000).

26780369280 is an abundant number, since it is smaller than the sum of its proper divisors (86023470720).

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

26780369280 is a wasteful number, since it uses less digits than its factorization.

26780369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 26780369280 in words is "twenty-six billion, seven hundred eighty million, three hundred sixty-nine thousand, two hundred eighty".