10055289201984 has 280 divisors, whose sum is σ = 32237693528040. Its totient is φ = 3080651636736.

The previous prime is 10055289201917. The next prime is 10055289202043. The reversal of 10055289201984 is 48910298255001.

10055289201984 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 528 + 9 + 20 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 680229057600 + 9375060144384 = 824760^2 + 3061872^2 .

It is a super-3 number, since 3×10055289201984³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10055289201984.

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 39 ways as a sum of consecutive naturals, for example, 15382152 + ... + 16022520.

It is an arithmetic number, because the mean of its divisors is an integer number (115134619743).

Almost surely, 2^{10055289201984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055289201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118846764020).

10055289201984 is an abundant number, since it is smaller than the sum of its proper divisors (22182404326056).

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

10055289201984 is a wasteful number, since it uses less digits than its factorization.

10055289201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640639 (or 640620 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 10055289201984 in words is "ten trillion, fifty-five billion, two hundred eighty-nine million, two hundred one thousand, nine hundred eighty-four".