10531364000 has 96 divisors (see below), whose sum is σ = 27397830096. Its totient is φ = 3964723200.

The previous prime is 10531363991. The next prime is 10531364003. The reversal of 10531364000 is 46313501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1065630736 + 9465733264 = 32644^2 + 97292^2 .

It is a super-2 number, since 2×10531364000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10531364003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9437 + ... + 145436.

Almost surely, 2^10531364000 is an apocalyptic number.

10531364000 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 10531364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698915048).

10531364000 is an abundant number, since it is smaller than the sum of its proper divisors (16866466096).

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

10531364000 is a wasteful number, since it uses less digits than its factorization.

10531364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154915 (or 154897 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 10531364000 its reverse (46313501), we get a palindrome (10577677501).

The spelling of 10531364000 in words is "ten billion, five hundred thirty-one million, three hundred sixty-four thousand".