10534829382 has 480 divisors, whose sum is σ = 32607691776. Its totient is φ = 2503872000.

The previous prime is 10534829369. The next prime is 10534829387. The reversal of 10534829382 is 28392843501.

10534829382 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 482 + 93 + 82 = 666.

It is a super-2 number, since 2×10534829382² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534829387) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69767007 + ... + 69767157.

Almost surely, 2^10534829382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534829382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303845888).

10534829382 is an abundant number, since it is smaller than the sum of its proper divisors (22072862394).

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

10534829382 is a wasteful number, since it uses less digits than its factorization.

10534829382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10534829382 in words is "ten billion, five hundred thirty-four million, eight hundred twenty-nine thousand, three hundred eighty-two".