10529484800 has 234 divisors, whose sum is σ = 27231503724. Its totient is φ = 4037836800.

The previous prime is 10529484799. The next prime is 10529484841. The reversal of 10529484800 is 848492501.

It is a super-2 number, since 2×10529484800² (a number of 21 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 98406347 + ... + 98406453.

Almost surely, 2^10529484800 is an apocalyptic number.

10529484800 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 10529484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615751862).

10529484800 is an abundant number, since it is smaller than the sum of its proper divisors (16702018924).

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

10529484800 is an equidigital number, since it uses as much as digits as its factorization.

10529484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 10529484800 in words is "ten billion, five hundred twenty-nine million, four hundred eighty-four thousand, eight hundred".