10579901904 has 240 divisors, whose sum is σ = 35136751104. Its totient is φ = 2929536000.

The previous prime is 10579901903. The next prime is 10579901939. The reversal of 10579901904 is 40910997501.

It is a super-2 number, since 2×10579901904² (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 10579901904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10579901903) 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 47 ways as a sum of consecutive naturals, for example, 2077249 + ... + 2082335.

Almost surely, 2^10579901904 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 10579901904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17568375552).

10579901904 is an abundant number, since it is smaller than the sum of its proper divisors (24556849200).

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

10579901904 is a wasteful number, since it uses less digits than its factorization.

10579901904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 10579901904 in words is "ten billion, five hundred seventy-nine million, nine hundred one thousand, nine hundred four".