10463327280000 has 1920 divisors, whose sum is σ = 47225621963520. Its totient is φ = 2250436608000.

The previous prime is 10463327279987. The next prime is 10463327280001. The reversal of 10463327280000 is 8272336401.

It is a happy number.

10463327280000 is a `hidden beast` number, since 1 + 0 + 46 + 332 + 7 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10463327280001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2313357739 + ... + 2313362261.

It is an arithmetic number, because the mean of its divisors is an integer number (24596678106).

Almost surely, 2^{10463327280000} is an apocalyptic number.

10463327280000 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 10463327280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612810981760).

10463327280000 is an abundant number, since it is smaller than the sum of its proper divisors (36762294683520).

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

10463327280000 is an frugal number, since it uses more digits than its factorization.

10463327280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10463327280000 in words is "ten trillion, four hundred sixty-three billion, three hundred twenty-seven million, two hundred eighty thousand".