10281844961280 has 416 divisors, whose sum is σ = 36579721651200. Its totient is φ = 2739836878848.

The previous prime is 10281844961251. The next prime is 10281844961303. The reversal of 10281844961280 is 8216944818201.

10281844961280 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 18 + 4 + 4 + 9 + 612 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862058677 + ... + 862070603.

It is an arithmetic number, because the mean of its divisors is an integer number (87932023200).

Almost surely, 2^{10281844961280} is an apocalyptic number.

10281844961280 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 10281844961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289860825600).

10281844961280 is an abundant number, since it is smaller than the sum of its proper divisors (26297876689920).

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

10281844961280 is a wasteful number, since it uses less digits than its factorization.

10281844961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13496 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10281844961280 in words is "ten trillion, two hundred eighty-one billion, eight hundred forty-four million, nine hundred sixty-one thousand, two hundred eighty".