10503152000 has 256 divisors, whose sum is σ = 28870732800. Its totient is φ = 3768064000.

The previous prime is 10503151979. The next prime is 10503152027. The reversal of 10503152000 is 25130501.

It is a super-2 number, since 2×10503152000² (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 10503152000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14607641 + ... + 14608359.

It is an arithmetic number, because the mean of its divisors is an integer number (112776300).

Almost surely, 2^10503152000 is an apocalyptic number.

10503152000 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 10503152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435366400).

10503152000 is an abundant number, since it is smaller than the sum of its proper divisors (18367580800).

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

10503152000 is an equidigital number, since it uses as much as digits as its factorization.

10503152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 10503152000 its reverse (25130501), we get a palindrome (10528282501).

The spelling of 10503152000 in words is "ten billion, five hundred three million, one hundred fifty-two thousand".