10115504000 has 256 divisors, whose sum is σ = 29531399040. Its totient is φ = 3373056000.

The previous prime is 10115503991. The next prime is 10115504027. The reversal of 10115504000 is 40551101.

10115504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10115504000.

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 31 ways as a sum of consecutive naturals, for example, 4142780 + ... + 4145220.

Almost surely, 2^10115504000 is an apocalyptic number.

10115504000 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 10115504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765699520).

10115504000 is an abundant number, since it is smaller than the sum of its proper divisors (19415895040).

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

10115504000 is an equidigital number, since it uses as much as digits as its factorization.

10115504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

It can be divided in two parts, 10115 and 504000, that multiplied together give a square (5097960000 = 71400²).

The spelling of 10115504000 in words is "ten billion, one hundred fifteen million, five hundred four thousand".