80821864524480 has 896 divisors, whose sum is σ = 274105810944000. Its totient is φ = 20133575294976.

The previous prime is 80821864524419. The next prime is 80821864524529. The reversal of 80821864524480 is 8442546812808.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 134927987221 + ... + 134927987819.

It is an arithmetic number, because the mean of its divisors is an integer number (305921664000).

Almost surely, 2^{80821864524480} is an apocalyptic number.

80821864524480 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 80821864524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137052905472000).

80821864524480 is an abundant number, since it is smaller than the sum of its proper divisors (193283946419520).

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

80821864524480 is a wasteful number, since it uses less digits than its factorization.

80821864524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 60.

The spelling of 80821864524480 in words is "eighty trillion, eight hundred twenty-one billion, eight hundred sixty-four million, five hundred twenty-four thousand, four hundred eighty".