10783948800 has 216 divisors, whose sum is σ = 35691293736. Its totient is φ = 2873098240.

The previous prime is 10783948789. The next prime is 10783948817. The reversal of 10783948800 is 884938701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10783948800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9829852 + ... + 9830948.

It is an arithmetic number, because the mean of its divisors is an integer number (165237471).

Almost surely, 2^10783948800 is an apocalyptic number.

10783948800 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 10783948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845646868).

10783948800 is an abundant number, since it is smaller than the sum of its proper divisors (24907344936).

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

10783948800 is an frugal number, since it uses more digits than its factorization.

10783948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 10783948800 in words is "ten billion, seven hundred eighty-three million, nine hundred forty-eight thousand, eight hundred".