10783082838528 has 4480 divisors, whose sum is σ = 48088922112000. Its totient is φ = 2370274099200.

The previous prime is 10783082838469. The next prime is 10783082838529. The reversal of 10783082838528 is 82583828038701.

10783082838528 is a `hidden beast` number, since 1 + 0 + 7 + 83 + 0 + 8 + 28 + 3 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10783082838529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 347841381873 + ... + 347841381903.

It is an arithmetic number, because the mean of its divisors is an integer number (10734134400).

Almost surely, 2^{10783082838528} is an apocalyptic number.

10783082838528 is a gapful number since it is divisible by the number (18) 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 10783082838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044461056000).

10783082838528 is an abundant number, since it is smaller than the sum of its proper divisors (37305839273472).

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

10783082838528 is an equidigital number, since it uses as much as digits as its factorization.

10783082838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 10783082838528 in words is "ten trillion, seven hundred eighty-three billion, eighty-two million, eight hundred thirty-eight thousand, five hundred twenty-eight".