11057863200 has 216 divisors, whose sum is σ = 37990412208. Its totient is φ = 2793346560.

The previous prime is 11057863199. The next prime is 11057863213. The reversal of 11057863200 is 236875011.

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 35 ways as a sum of consecutive naturals, for example, 860019 + ... + 872781.

It is an arithmetic number, because the mean of its divisors is an integer number (175881538).

Almost surely, 2^11057863200 is an apocalyptic number.

11057863200 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 11057863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995206104).

11057863200 is an abundant number, since it is smaller than the sum of its proper divisors (26932549008).

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

11057863200 is a wasteful number, since it uses less digits than its factorization.

11057863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11057863200 in words is "eleven billion, fifty-seven million, eight hundred sixty-three thousand, two hundred".