10983680730000 has 400 divisors, whose sum is σ = 42977933908800. Its totient is φ = 2662709760000.

The previous prime is 10983680729981. The next prime is 10983680730067. The reversal of 10983680730000 is 3708638901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120896 + ... + 4819104.

It is an arithmetic number, because the mean of its divisors is an integer number (107444834772).

Almost surely, 2^{10983680730000} is an apocalyptic number.

10983680730000 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 10983680730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488966954400).

10983680730000 is an abundant number, since it is smaller than the sum of its proper divisors (31994253178800).

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

10983680730000 is a wasteful number, since it uses less digits than its factorization.

10983680730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698257 (or 3698230 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10983680730000 in words is "ten trillion, nine hundred eighty-three billion, six hundred eighty million, seven hundred thirty thousand".