10084660000 has 120 divisors (see below), whose sum is σ = 24880973040. Its totient is φ = 4022304000.

The previous prime is 10084659989. The next prime is 10084660007. The reversal of 10084660000 is 6648001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10084660007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11739571 + ... + 11740429.

It is an arithmetic number, because the mean of its divisors is an integer number (207341442).

Almost surely, 2^10084660000 is an apocalyptic number.

10084660000 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 10084660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440486520).

10084660000 is an abundant number, since it is smaller than the sum of its proper divisors (14796313040).

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

10084660000 is an frugal number, since it uses more digits than its factorization.

10084660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 10084660000 in words is "ten billion, eighty-four million, six hundred sixty thousand".