82221308928000 has 6272 divisors, whose sum is σ = 386164117647360. Its totient is φ = 17199267840000.

The previous prime is 82221308927987. The next prime is 82221308928013. The reversal of 82221308928000 is 82980312228.

82221308928000 is a `hidden beast` number, since 82 + 2 + 213 + 0 + 89 + 280 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82221308927987) and next prime (82221308928013).

It is a super-2 number, since 2×82221308928000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 2652300287985 + ... + 2652300288015.

Almost surely, 2^{82221308928000} is an apocalyptic number.

82221308928000 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 82221308928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193082058823680).

82221308928000 is an abundant number, since it is smaller than the sum of its proper divisors (303942808719360).

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

82221308928000 is a wasteful number, since it uses less digits than its factorization.

82221308928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 82221308928000 in words is "eighty-two trillion, two hundred twenty-one billion, three hundred eight million, nine hundred twenty-eight thousand".