1008920180680 has 128 divisors (see below), whose sum is σ = 2380613713920. Its totient is φ = 384377322240.

The previous prime is 1008920180677. The next prime is 1008920180747. The reversal of 1008920180680 is 860810298001.

1008920180680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20794129 + ... + 20842591.

It is an arithmetic number, because the mean of its divisors is an integer number (18598544640).

Almost surely, 2^{1008920180680} is an apocalyptic number.

1008920180680 is a gapful number since it is divisible by the number (10) 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 1008920180680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190306856960).

1008920180680 is an abundant number, since it is smaller than the sum of its proper divisors (1371693533240).

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

1008920180680 is a wasteful number, since it uses less digits than its factorization.

1008920180680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48771 (or 48767 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 1008920180680 in words is "one trillion, eight billion, nine hundred twenty million, one hundred eighty thousand, six hundred eighty".