802661166208 has 128 divisors (see below), whose sum is σ = 1770645744000. Its totient is φ = 359370547200.

The previous prime is 802661166187. The next prime is 802661166211.

802661166208 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128855638 + ... + 128861866.

It is an arithmetic number, because the mean of its divisors is an integer number (13833169875).

Almost surely, 2^802661166208 is an apocalyptic number.

802661166208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802661166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885322872000).

802661166208 is an abundant number, since it is smaller than the sum of its proper divisors (967984577792).

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

802661166208 is a wasteful number, since it uses less digits than its factorization.

802661166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

It can be divided in two parts, 802661 and 166208, that added together give a palindrome (968869).

The spelling of 802661166208 in words is "eight hundred two billion, six hundred sixty-one million, one hundred sixty-six thousand, two hundred eight".