26777861280000 has 2520 divisors, whose sum is σ = 108248995858080. Its totient is φ = 6584094720000.

The previous prime is 26777861279971. The next prime is 26777861280007. The reversal of 26777861280000 is 8216877762.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (26777861280007) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 95294879860 + ... + 95294880140.

Almost surely, 2^{26777861280000} is an apocalyptic number.

26777861280000 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 26777861280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54124497929040).

26777861280000 is an abundant number, since it is smaller than the sum of its proper divisors (81471134578080).

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

26777861280000 is an frugal number, since it uses more digits than its factorization.

26777861280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 26777861280000 in words is "twenty-six trillion, seven hundred seventy-seven billion, eight hundred sixty-one million, two hundred eighty thousand".