10991830253600 has 648 divisors, whose sum is σ = 33285798322560. Its totient is φ = 3527437562880.

The previous prime is 10991830253549. The next prime is 10991830253633. The reversal of 10991830253600 is 635203819901.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1991631641 + ... + 1991637159.

It is an arithmetic number, because the mean of its divisors is an integer number (51366972720).

Almost surely, 2^{10991830253600} is an apocalyptic number.

10991830253600 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 10991830253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642899161280).

10991830253600 is an abundant number, since it is smaller than the sum of its proper divisors (22293968068960).

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

10991830253600 is a wasteful number, since it uses less digits than its factorization.

10991830253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 10991830253600 in words is "ten trillion, nine hundred ninety-one billion, eight hundred thirty million, two hundred fifty-three thousand, six hundred".