84166666752 has 160 divisors (see below), whose sum is σ = 256440729600. Its totient is φ = 24030425088.

The previous prime is 84166666751. The next prime is 84166666757. The reversal of 84166666752 is 25766666148.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84166666692 and 84166666701.

It is not an unprimeable number, because it can be changed into a prime (84166666751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29233249 + ... + 29236127.

It is an arithmetic number, because the mean of its divisors is an integer number (1602754560).

Almost surely, 2^84166666752 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 84166666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128220364800).

84166666752 is an abundant number, since it is smaller than the sum of its proper divisors (172274062848).

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

84166666752 is a wasteful number, since it uses less digits than its factorization.

84166666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5610 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 84166666752 in words is "eighty-four billion, one hundred sixty-six million, six hundred sixty-six thousand, seven hundred fifty-two".