84824510820 has 192 divisors, whose sum is σ = 277944016896. Its totient is φ = 18929111040.

The previous prime is 84824510809. The next prime is 84824510843. The reversal of 84824510820 is 2801542848.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3057652 + ... + 3085268.

It is an arithmetic number, because the mean of its divisors is an integer number (1447625088).

Almost surely, 2^84824510820 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 84824510820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138972008448).

84824510820 is an abundant number, since it is smaller than the sum of its proper divisors (193119506076).

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

84824510820 is a wasteful number, since it uses less digits than its factorization.

84824510820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 84824510820 in words is "eighty-four billion, eight hundred twenty-four million, five hundred ten thousand, eight hundred twenty".