84081008752 has 80 divisors (see below), whose sum is σ = 180290148192. Its totient is φ = 37734681600.

The previous prime is 84081008729. The next prime is 84081008777. The reversal of 84081008752 is 25780018048.

It is a junction number, because it is equal to n+sod(n) for n = 84081008699 and 84081008708.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21831627 + ... + 21835477.

Almost surely, 2^84081008752 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 84081008752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90145074096).

84081008752 is an abundant number, since it is smaller than the sum of its proper divisors (96209139440).

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

84081008752 is a wasteful number, since it uses less digits than its factorization.

84081008752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 84081008752 in words is "eighty-four billion, eighty-one million, eight thousand, seven hundred fifty-two".