10536000000 has 280 divisors, whose sum is σ = 35165174880. Its totient is φ = 2803200000.

The previous prime is 10535999987. The next prime is 10536000067. The reversal of 10536000000 is 63501.

10536000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10536000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 27 ways as a sum of consecutive naturals, for example, 23999781 + ... + 24000219.

Almost surely, 2^10536000000 is an apocalyptic number.

10536000000 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 10536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582587440).

10536000000 is an abundant number, since it is smaller than the sum of its proper divisors (24629174880).

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

10536000000 is an frugal number, since it uses more digits than its factorization.

10536000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10536000000 its reverse (63501), we get a palindrome (10536063501).

The spelling of 10536000000 in words is "ten billion, five hundred thirty-six million", and thus it is an aban number.