10579931040 has 384 divisors, whose sum is σ = 39191040000. Its totient is φ = 2398061568.

The previous prime is 10579931039. The next prime is 10579931057. The reversal of 10579931040 is 4013997501.

It is a happy number.

It is a super-2 number, since 2×10579931040² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10579931040.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29470381 + ... + 29470739.

It is an arithmetic number, because the mean of its divisors is an integer number (102060000).

Almost surely, 2^10579931040 is an apocalyptic number.

10579931040 is a gapful number since it is divisible by the number (10) 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 10579931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520000).

10579931040 is an abundant number, since it is smaller than the sum of its proper divisors (28611108960).

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

10579931040 is a wasteful number, since it uses less digits than its factorization.

10579931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 10579931040 in words is "ten billion, five hundred seventy-nine million, nine hundred thirty-one thousand, forty".