81033870281760 has 768 divisors, whose sum is σ = 313468749619200. Its totient is φ = 19386611712000.

The previous prime is 81033870281759. The next prime is 81033870281779. The reversal of 81033870281760 is 6718207833018.

It is a super-2 number, since 2×81033870281760² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 81033870281697 and 81033870281706.

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 127 ways as a sum of consecutive naturals, for example, 10875566035 + ... + 10875573485.

It is an arithmetic number, because the mean of its divisors is an integer number (408162434400).

Almost surely, 2^{81033870281760} is an apocalyptic number.

81033870281760 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 81033870281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156734374809600).

81033870281760 is an abundant number, since it is smaller than the sum of its proper divisors (232434879337440).

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

81033870281760 is a wasteful number, since it uses less digits than its factorization.

81033870281760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10462 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 81033870281760 in words is "eighty-one trillion, thirty-three billion, eight hundred seventy million, two hundred eighty-one thousand, seven hundred sixty".