26751981954420 has 768 divisors, whose sum is σ = 88544092815360. Its totient is φ = 6696106444800.

The previous prime is 26751981954343. The next prime is 26751981954421. The reversal of 26751981954420 is 2445918915762.

26751981954420 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 1 + 9 + 81 + 9 + 544 + 2 + 0 = 666.

It is a super-2 number, since 2×26751981954420² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26751981954421) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36496564374 + ... + 36496565106.

It is an arithmetic number, because the mean of its divisors is an integer number (115291787520).

Almost surely, 2^{26751981954420} is an apocalyptic number.

26751981954420 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 26751981954420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44272046407680).

26751981954420 is an abundant number, since it is smaller than the sum of its proper divisors (61792110860940).

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

26751981954420 is a wasteful number, since it uses less digits than its factorization.

26751981954420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 26751981954420 in words is "twenty-six trillion, seven hundred fifty-one billion, nine hundred eighty-one million, nine hundred fifty-four thousand, four hundred twenty".