81424488600 has 2016 divisors, whose sum is σ = 390380951520. Its totient is φ = 15318097920.

The previous prime is 81424488559. The next prime is 81424488601. The reversal of 81424488600 is 688442418.

81424488600 is a `hidden beast` number, since 8 + 14 + 24 + 4 + 8 + 8 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81424488601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 4285499391 + ... + 4285499409.

It is an arithmetic number, because the mean of its divisors is an integer number (193641345).

Almost surely, 2^81424488600 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 81424488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195190475760).

81424488600 is an abundant number, since it is smaller than the sum of its proper divisors (308956462920).

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

81424488600 is a wasteful number, since it uses less digits than its factorization.

81424488600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 81424488600 in words is "eighty-one billion, four hundred twenty-four million, four hundred eighty-eight thousand, six hundred".