26936680772820 has 768 divisors, whose sum is σ = 96444325232640. Its totient is φ = 5464450252800.

The previous prime is 26936680772819. The next prime is 26936680772821. The reversal of 26936680772820 is 2827708663962.

It is an interprime number because it is at equal distance from previous prime (26936680772819) and next prime (26936680772821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26936680772821) 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, 20897346736 + ... + 20897348024.

It is an arithmetic number, because the mean of its divisors is an integer number (125578548480).

Almost surely, 2^{26936680772820} is an apocalyptic number.

26936680772820 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 26936680772820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48222162616320).

26936680772820 is an abundant number, since it is smaller than the sum of its proper divisors (69507644459820).

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

26936680772820 is a wasteful number, since it uses less digits than its factorization.

26936680772820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 26936680772820 in words is "twenty-six trillion, nine hundred thirty-six billion, six hundred eighty million, seven hundred seventy-two thousand, eight hundred twenty".