10488559104 has 200 divisors, whose sum is σ = 31977605088. Its totient is φ = 3421163520.

The previous prime is 10488559099. The next prime is 10488559141. The reversal of 10488559104 is 40195588401.

It is a happy number.

10488559104 is a `hidden beast` number, since 1 + 0 + 4 + 88 + 559 + 10 + 4 = 666.

It is a super-2 number, since 2×10488559104² (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 10488559104.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1946494 + ... + 1951874.

Almost surely, 2^10488559104 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 10488559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988802544).

10488559104 is an abundant number, since it is smaller than the sum of its proper divisors (21489045984).

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

10488559104 is an frugal number, since it uses more digits than its factorization.

10488559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10488559104 in words is "ten billion, four hundred eighty-eight million, five hundred fifty-nine thousand, one hundred four".