10531200549888 has 264 divisors, whose sum is σ = 32394762472800. Its totient is φ = 3285569765376.

The previous prime is 10531200549827. The next prime is 10531200549937. The reversal of 10531200549888 is 88894500213501.

10531200549888 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 12 + 0 + 0 + 549 + 8 + 88 = 666.

It is a super-2 number, since 2×10531200549888² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14171328 + ... + 14895936.

Almost surely, 2^{10531200549888} is an apocalyptic number.

10531200549888 is a gapful number since it is divisible by the number (18) 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 10531200549888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16197381236400).

10531200549888 is an abundant number, since it is smaller than the sum of its proper divisors (21863561922912).

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

10531200549888 is a wasteful number, since it uses less digits than its factorization.

10531200549888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724737 (or 724716 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10531200549888 in words is "ten trillion, five hundred thirty-one billion, two hundred million, five hundred forty-nine thousand, eight hundred eighty-eight".