26803751012280 has 192 divisors, whose sum is σ = 95046495897600. Its totient is φ = 6496852366080.

The previous prime is 26803751012209. The next prime is 26803751012321. The reversal of 26803751012280 is 8221015730862.

26803751012280 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 3 + 7 + 510 + 122 + 8 + 0 = 666.

It is a super-2 number, since 2×26803751012280² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24681781 + ... + 25744859.

It is an arithmetic number, because the mean of its divisors is an integer number (495033832800).

Almost surely, 2^{26803751012280} is an apocalyptic number.

26803751012280 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 26803751012280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523247948800).

26803751012280 is an abundant number, since it is smaller than the sum of its proper divisors (68242744885320).

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

26803751012280 is a wasteful number, since it uses less digits than its factorization.

26803751012280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069474 (or 1069467 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 26803751012280 in words is "twenty-six trillion, eight hundred three billion, seven hundred fifty-one million, twelve thousand, two hundred eighty".