26928276480 has 528 divisors, whose sum is σ = 110115892224. Its totient is φ = 5954273280.

The previous prime is 26928276457. The next prime is 26928276493. The reversal of 26928276480 is 8467282962.

26928276480 is a `hidden beast` number, since 2 + 6 + 92 + 8 + 2 + 76 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9998014 + ... + 10000706.

Almost surely, 2^26928276480 is an apocalyptic number.

26928276480 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 26928276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55057946112).

26928276480 is an abundant number, since it is smaller than the sum of its proper divisors (83187615744).

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

26928276480 is a wasteful number, since it uses less digits than its factorization.

26928276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 26928276480 in words is "twenty-six billion, nine hundred twenty-eight million, two hundred seventy-six thousand, four hundred eighty".