10536949600 has 144 divisors (see below), whose sum is σ = 26878279680. Its totient is φ = 4028889600.

The previous prime is 10536949597. The next prime is 10536949601. The reversal of 10536949600 is 694963501.

It is a super-2 number, since 2×10536949600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536949601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055841 + ... + 2060959.

It is an arithmetic number, because the mean of its divisors is an integer number (186654720).

Almost surely, 2^10536949600 is an apocalyptic number.

10536949600 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 10536949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

10536949600 is an abundant number, since it is smaller than the sum of its proper divisors (16341330080).

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

10536949600 is a wasteful number, since it uses less digits than its factorization.

10536949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 10536949600 in words is "ten billion, five hundred thirty-six million, nine hundred forty-nine thousand, six hundred".