10481307724800 has 2640 divisors, whose sum is σ = 44604394374144. Its totient is φ = 2418647040000.

The previous prime is 10481307724793. The next prime is 10481307724813. The reversal of 10481307724800 is 842770318401.

10481307724800 is a `hidden beast` number, since 1 + 0 + 481 + 3 + 0 + 77 + 24 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 171824716770 + ... + 171824716830.

Almost surely, 2^{10481307724800} is an apocalyptic number.

10481307724800 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 10481307724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22302197187072).

10481307724800 is an abundant number, since it is smaller than the sum of its proper divisors (34123086649344).

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

10481307724800 is an frugal number, since it uses more digits than its factorization.

10481307724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10481307724800 in words is "ten trillion, four hundred eighty-one billion, three hundred seven million, seven hundred twenty-four thousand, eight hundred".