26776250928 has 480 divisors, whose sum is σ = 93155287680. Its totient is φ = 7007109120.

The previous prime is 26776250923. The next prime is 26776250947. The reversal of 26776250928 is 82905267762.

26776250928 is a `hidden beast` number, since 2 + 6 + 7 + 7 + 625 + 0 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×26776250928² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26776250923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147934998 + ... + 147935178.

It is an arithmetic number, because the mean of its divisors is an integer number (194073516).

Almost surely, 2^26776250928 is an apocalyptic number.

26776250928 is a gapful number since it is divisible by the number (28) 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 26776250928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46577643840).

26776250928 is an abundant number, since it is smaller than the sum of its proper divisors (66379036752).

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

26776250928 is a wasteful number, since it uses less digits than its factorization.

26776250928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 26776250928 in words is "twenty-six billion, seven hundred seventy-six million, two hundred fifty thousand, nine hundred twenty-eight".