26781230880 has 240 divisors, whose sum is σ = 97775952120. Its totient is φ = 6895300608.

The previous prime is 26781230849. The next prime is 26781230893. The reversal of 26781230880 is 8803218762.

26781230880 is a `hidden beast` number, since 267 + 8 + 1 + 2 + 308 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24874336656 + 1906894224 = 157716^2 + 43668^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×26781230880³ (a number of 32 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 340212 + ... + 411468.

Almost surely, 2^26781230880 is an apocalyptic number.

26781230880 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 26781230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48887976060).

26781230880 is an abundant number, since it is smaller than the sum of its proper divisors (70994721240).

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

26781230880 is a wasteful number, since it uses less digits than its factorization.

26781230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71313 (or 71296 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 26781230880 in words is "twenty-six billion, seven hundred eighty-one million, two hundred thirty thousand, eight hundred eighty".