71822204928000 has 1360 divisors, whose sum is σ = 283590802370304. Its totient is φ = 18023134003200.

The previous prime is 71822204927989. The next prime is 71822204928007. The reversal of 71822204928000 is 82940222817.

It is a happy number.

71822204928000 is a `hidden beast` number, since 7 + 1 + 82 + 2 + 2 + 0 + 492 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1360).

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

It is not an unprimeable number, because it can be changed into a prime (71822204928007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11280380817 + ... + 11280387183.

Almost surely, 2^{71822204928000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71822204928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141795401185152).

71822204928000 is an abundant number, since it is smaller than the sum of its proper divisors (211768597442304).

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

71822204928000 is an frugal number, since it uses more digits than its factorization.

71822204928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 71822204928000 in words is "seventy-one trillion, eight hundred twenty-two billion, two hundred four million, nine hundred twenty-eight thousand".