10281345984000 has 2560 divisors, whose sum is σ = 47164101304320. Its totient is φ = 2149908480000.

The previous prime is 10281345983983. The next prime is 10281345984023. The reversal of 10281345984000 is 48954318201.

10281345984000 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 13 + 4 + 598 + 40 + 0 + 0 = 666.

10281345984000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2560).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23744447784 + ... + 23744448216.

It is an arithmetic number, because the mean of its divisors is an integer number (18423477072).

Almost surely, 2^{10281345984000} is an apocalyptic number.

10281345984000 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 10281345984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23582050652160).

10281345984000 is an abundant number, since it is smaller than the sum of its proper divisors (36882755320320).

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

10281345984000 is a wasteful number, since it uses less digits than its factorization.

10281345984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10281345984000 in words is "ten trillion, two hundred eighty-one billion, three hundred forty-five million, nine hundred eighty-four thousand".