81103868801280 has 1512 divisors, whose sum is σ = 333963273897288. Its totient is φ = 18789053497344.

The previous prime is 81103868801239. The next prime is 81103868801381. The reversal of 81103868801280 is 8210886830118.

It can be written as a sum of positive squares in 12 ways, for example, as 13334883676416 + 67768985124864 = 3651696^2 + 8232192^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2680838634 + ... + 2680868886.

It is an arithmetic number, because the mean of its divisors is an integer number (220875181149).

Almost surely, 2^{81103868801280} is an apocalyptic number.

81103868801280 is a gapful number since it is divisible by the number (80) 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 81103868801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166981636948644).

81103868801280 is an abundant number, since it is smaller than the sum of its proper divisors (252859405096008).

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

81103868801280 is a wasteful number, since it uses less digits than its factorization.

81103868801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30293 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 81103868801280 in words is "eighty-one trillion, one hundred three billion, eight hundred sixty-eight million, eight hundred one thousand, two hundred eighty".