10538546860800 has 1296 divisors, whose sum is σ = 46597662558720. Its totient is φ = 2304025067520.

The previous prime is 10538546860769. The next prime is 10538546860801. The reversal of 10538546860800 is 806864583501.

10538546860800 is a `hidden beast` number, since 1 + 0 + 5 + 38 + 546 + 8 + 60 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×10538546860800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10538546860801) 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 143 ways as a sum of consecutive naturals, for example, 250366156 + ... + 250408244.

Almost surely, 2^{10538546860800} is an apocalyptic number.

10538546860800 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 10538546860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298831279360).

10538546860800 is an abundant number, since it is smaller than the sum of its proper divisors (36059115697920).

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

10538546860800 is an equidigital number, since it uses as much as digits as its factorization.

10538546860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42160 (or 42129 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10538546860800 in words is "ten trillion, five hundred thirty-eight billion, five hundred forty-six million, eight hundred sixty thousand, eight hundred".