10783368400 has 120 divisors (see below), whose sum is σ = 29807913600. Its totient is φ = 3672199680.

The previous prime is 10783368397. The next prime is 10783368443. The reversal of 10783368400 is 486338701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404277 + ... + 430123.

It is an arithmetic number, because the mean of its divisors is an integer number (248399280).

Almost surely, 2^10783368400 is an apocalyptic number.

10783368400 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 10783368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903956800).

10783368400 is an abundant number, since it is smaller than the sum of its proper divisors (19024545200).

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

10783368400 is a wasteful number, since it uses less digits than its factorization.

10783368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26021 (or 26010 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 10783368400 in words is "ten billion, seven hundred eighty-three million, three hundred sixty-eight thousand, four hundred".