81298828467360 has 504 divisors, whose sum is σ = 323671242294036. Its totient is φ = 18582550640640.

The previous prime is 81298828467359. The next prime is 81298828467403. The reversal of 81298828467360 is 6376482889218.

81298828467360 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 88 + 28 + 467 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79702113180816 + 1596715286544 = 8927604^2 + 1263612^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 169174620 + ... + 169654500.

Almost surely, 2^{81298828467360} is an apocalyptic number.

81298828467360 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 81298828467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161835621147018).

81298828467360 is an abundant number, since it is smaller than the sum of its proper divisors (242372413826676).

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

81298828467360 is an frugal number, since it uses more digits than its factorization.

81298828467360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479944 (or 479898 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 81298828467360 in words is "eighty-one trillion, two hundred ninety-eight billion, eight hundred twenty-eight million, four hundred sixty-seven thousand, three hundred sixty".