26776779120 has 900 divisors, whose sum is σ = 117380043000. Its totient is φ = 5638284288.

The previous prime is 26776779103. The next prime is 26776779131. The reversal of 26776779120 is 2197767762.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660631 + ... + 53661129.

It is an arithmetic number, because the mean of its divisors is an integer number (130422270).

Almost surely, 2^26776779120 is an apocalyptic number.

26776779120 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 26776779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58690021500).

26776779120 is an abundant number, since it is smaller than the sum of its proper divisors (90603263880).

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

26776779120 is a wasteful number, since it uses less digits than its factorization.

26776779120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 26776779120 in words is "twenty-six billion, seven hundred seventy-six million, seven hundred seventy-nine thousand, one hundred twenty".