26781209280 has 448 divisors, whose sum is σ = 108458081280. Its totient is φ = 6094061568.

The previous prime is 26781209239. The next prime is 26781209293. The reversal of 26781209280 is 8290218762.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15542499 + ... + 15544221.

Almost surely, 2^26781209280 is an apocalyptic number.

26781209280 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 26781209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54229040640).

26781209280 is an abundant number, since it is smaller than the sum of its proper divisors (81676872000).

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

26781209280 is a wasteful number, since it uses less digits than its factorization.

26781209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 26781209280 in words is "twenty-six billion, seven hundred eighty-one million, two hundred nine thousand, two hundred eighty".