10504000000 has 280 divisors, whose sum is σ = 28531744164. Its totient is φ = 3840000000.

The previous prime is 10503999991. The next prime is 10504000037. The reversal of 10504000000 is 40501.

It can be written as a sum of positive squares in 14 ways, for example, as 8455170304 + 2048829696 = 91952^2 + 45264^2 .

It is a super-2 number, since 2×10504000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103999950 + ... + 104000050.

Almost surely, 2^10504000000 is an apocalyptic number.

10504000000 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 10504000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265872082).

10504000000 is an abundant number, since it is smaller than the sum of its proper divisors (18027744164).

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

10504000000 is an frugal number, since it uses more digits than its factorization.

10504000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 10504000000 its reverse (40501), we get a palindrome (10504040501).

The spelling of 10504000000 in words is "ten billion, five hundred four million", and thus it is an aban number.