10783974960 has 480 divisors, whose sum is σ = 42177300480. Its totient is φ = 2529964800.

The previous prime is 10783974931. The next prime is 10783974961. The reversal of 10783974960 is 6947938701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10783974897 and 10783974906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10783974961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 347870145 + ... + 347870175.

It is an arithmetic number, because the mean of its divisors is an integer number (87869376).

Almost surely, 2^10783974960 is an apocalyptic number.

10783974960 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 10783974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088650240).

10783974960 is an abundant number, since it is smaller than the sum of its proper divisors (31393325520).

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

10783974960 is an frugal number, since it uses more digits than its factorization.

10783974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10783974960 in words is "ten billion, seven hundred eighty-three million, nine hundred seventy-four thousand, nine hundred sixty".