10983079200 has 288 divisors, whose sum is σ = 38000067840. Its totient is φ = 2747520000.

The previous prime is 10983079199. The next prime is 10983079229. The reversal of 10983079200 is 297038901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4878075 + ... + 4880325.

It is an arithmetic number, because the mean of its divisors is an integer number (131944680).

Almost surely, 2^10983079200 is an apocalyptic number.

10983079200 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 10983079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000033920).

10983079200 is an abundant number, since it is smaller than the sum of its proper divisors (27016988640).

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

10983079200 is a wasteful number, since it uses less digits than its factorization.

10983079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 10983079200 in words is "ten billion, nine hundred eighty-three million, seventy-nine thousand, two hundred".