10709782824 has 192 divisors, whose sum is σ = 30381220800. Its totient is φ = 3140487168.

The previous prime is 10709782823. The next prime is 10709782829. The reversal of 10709782824 is 42828790701.

It is a super-2 number, since 2×10709782824² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10709782823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9762244 + ... + 9763340.

It is an arithmetic number, because the mean of its divisors is an integer number (158235525).

Almost surely, 2^10709782824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10709782824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190610400).

10709782824 is an abundant number, since it is smaller than the sum of its proper divisors (19671437976).

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

10709782824 is a wasteful number, since it uses less digits than its factorization.

10709782824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 10709782824 in words is "ten billion, seven hundred nine million, seven hundred eighty-two thousand, eight hundred twenty-four".