10492789824 has 336 divisors, whose sum is σ = 35357287680. Its totient is φ = 2940779520.

The previous prime is 10492789817. The next prime is 10492789841. The reversal of 10492789824 is 42898729401.

10492789824 is a `hidden beast` number, since 1 + 0 + 492 + 78 + 9 + 82 + 4 = 666.

It is a super-2 number, since 2×10492789824² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5175499 + ... + 5177525.

Almost surely, 2^10492789824 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 10492789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678643840).

10492789824 is an abundant number, since it is smaller than the sum of its proper divisors (24864497856).

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

10492789824 is a wasteful number, since it uses less digits than its factorization.

10492789824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10492789824 in words is "ten billion, four hundred ninety-two million, seven hundred eighty-nine thousand, eight hundred twenty-four".