10830672000 has 640 divisors, whose sum is σ = 41183279280. Its totient is φ = 2820096000.

The previous prime is 10830671987. The next prime is 10830672031. The reversal of 10830672000 is 27603801.

It can be written as a sum of positive squares in 8 ways, for example, as 66194496 + 10764477504 = 8136^2 + 103752^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79055932 + ... + 79056068.

Almost surely, 2^10830672000 is an apocalyptic number.

10830672000 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 10830672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591639640).

10830672000 is an abundant number, since it is smaller than the sum of its proper divisors (30352607280).

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

10830672000 is an equidigital number, since it uses as much as digits as its factorization.

10830672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10830672000 in words is "ten billion, eight hundred thirty million, six hundred seventy-two thousand".