81298660322880 has 8064 divisors, whose sum is σ = 429136881997824. Its totient is φ = 14347055923200.

The previous prime is 81298660322837. The next prime is 81298660322899. The reversal of 81298660322880 is 8822306689218.

81298660322880 is a `hidden beast` number, since 8 + 1 + 298 + 6 + 60 + 3 + 2 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 620600460415 + ... + 620600460545.

It is an arithmetic number, because the mean of its divisors is an integer number (53216379216).

Almost surely, 2^{81298660322880} is an apocalyptic number.

81298660322880 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 81298660322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214568440998912).

81298660322880 is an abundant number, since it is smaller than the sum of its proper divisors (347838221674944).

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

81298660322880 is a wasteful number, since it uses less digits than its factorization.

81298660322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 81298660322880 in words is "eighty-one trillion, two hundred ninety-eight billion, six hundred sixty million, three hundred twenty-two thousand, eight hundred eighty".