26777829312 has 224 divisors, whose sum is σ = 85658350400. Its totient is φ = 8153726976.

The previous prime is 26777829307. The next prime is 26777829319. The reversal of 26777829312 is 21392877762.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26777829319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172864 + ... + 2185152.

It is an arithmetic number, because the mean of its divisors is an integer number (382403350).

Almost surely, 2^26777829312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26777829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42829175200).

26777829312 is an abundant number, since it is smaller than the sum of its proper divisors (58880521088).

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

26777829312 is a wasteful number, since it uses less digits than its factorization.

26777829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420 (or 12404 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 26777829312 in words is "twenty-six billion, seven hundred seventy-seven million, eight hundred twenty-nine thousand, three hundred twelve".