10524320000 has 90 divisors (see below), whose sum is σ = 26251407798. Its totient is φ = 4209664000.

The previous prime is 10524319979. The next prime is 10524320011. The reversal of 10524320000 is 2342501.

It can be written as a sum of positive squares in 5 ways, for example, as 3325136896 + 7199183104 = 57664^2 + 84848^2 .

It is a super-2 number, since 2×10524320000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 127112 + ... + 192888.

Almost surely, 2^10524320000 is an apocalyptic number.

10524320000 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 10524320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125703899).

10524320000 is an abundant number, since it is smaller than the sum of its proper divisors (15727087798).

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

10524320000 is an frugal number, since it uses more digits than its factorization.

10524320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65813 (or 65784 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10524320000 its reverse (2342501), we get a palindrome (10526662501).

The spelling of 10524320000 in words is "ten billion, five hundred twenty-four million, three hundred twenty thousand".