10458538992 has 320 divisors, whose sum is σ = 35622720000. Its totient is φ = 2901381120.

The previous prime is 10458538969. The next prime is 10458539041. The reversal of 10458538992 is 29983585401.

10458538992 is a `hidden beast` number, since 10 + 4 + 5 + 8 + 538 + 9 + 92 = 666.

10458538992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2987259 + ... + 2990757.

It is an arithmetic number, because the mean of its divisors is an integer number (111321000).

Almost surely, 2^10458538992 is an apocalyptic number.

10458538992 is a gapful number since it is divisible by the number (12) 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 10458538992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360000).

10458538992 is an abundant number, since it is smaller than the sum of its proper divisors (25164181008).

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

10458538992 is a wasteful number, since it uses less digits than its factorization.

10458538992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 10458538992 in words is "ten billion, four hundred fifty-eight million, five hundred thirty-eight thousand, nine hundred ninety-two".