10782825744 has 80 divisors (see below), whose sum is σ = 28190695680. Its totient is φ = 3551170560.

The previous prime is 10782825737. The next prime is 10782825827. The reversal of 10782825744 is 44752828701.

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

It is a junction number, because it is equal to n+sod(n) for n = 10782825693 and 10782825702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3346054 + ... + 3349274.

It is an arithmetic number, because the mean of its divisors is an integer number (352383696).

Almost surely, 2^10782825744 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 10782825744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095347840).

10782825744 is an abundant number, since it is smaller than the sum of its proper divisors (17407869936).

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

10782825744 is a wasteful number, since it uses less digits than its factorization.

10782825744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 10782825744 in words is "ten billion, seven hundred eighty-two million, eight hundred twenty-five thousand, seven hundred forty-four".