10533529891600 has 45 divisors (see below), whose sum is σ = 25306961513727. Its totient is φ = 4213385992320.

The previous prime is 10533529891589. The next prime is 10533529891601. The reversal of 10533529891600 is 619892533501.

The square root of 10533529891600 is 3245540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4065175347984 + 6468354543616 = 2016228^2 + 2543296^2 .

It is a super-2 number, since 2×10533529891600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10533529891601) 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 8 ways as a sum of consecutive naturals, for example, 64829662 + ... + 64991938.

Almost surely, 2^{10533529891600} is an apocalyptic number.

10533529891600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10533529891600 is the 3245540-th square number.

It is an amenable number.

10533529891600 is an abundant number, since it is smaller than the sum of its proper divisors (14773431622127).

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

10533529891600 is an frugal number, since it uses more digits than its factorization.

10533529891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324572 (or 162284 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 10533529891600 in words is "ten trillion, five hundred thirty-three billion, five hundred twenty-nine million, eight hundred ninety-one thousand, six hundred".