10460853043200 has 2592 divisors, whose sum is σ = 47432364134400. Its totient is φ = 2247370997760.

The previous prime is 10460853043153. The next prime is 10460853043243. The reversal of 10460853043200 is 234035806401.

10460853043200 is a `hidden beast` number, since 1 + 0 + 4 + 60 + 8 + 530 + 43 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82368921537 + ... + 82368921663.

It is an arithmetic number, because the mean of its divisors is an integer number (18299523200).

Almost surely, 2^{10460853043200} is an apocalyptic number.

10460853043200 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 10460853043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716182067200).

10460853043200 is an abundant number, since it is smaller than the sum of its proper divisors (36971511091200).

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

10460853043200 is an equidigital number, since it uses as much as digits as its factorization.

10460853043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10460853043200 its reverse (234035806401), we get a palindrome (10694888849601).

The spelling of 10460853043200 in words is "ten trillion, four hundred sixty billion, eight hundred fifty-three million, forty-three thousand, two hundred".