10873928365440 has 512 divisors, whose sum is σ = 40213032007680. Its totient is φ = 2447843328000.

The previous prime is 10873928365411. The next prime is 10873928365457. The reversal of 10873928365440 is 4456382937801.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 974273460 + ... + 974284620.

It is an arithmetic number, because the mean of its divisors is an integer number (78541078140).

It is a 1-persistent number, because it is pandigital, but 2⋅10873928365440 = 21747856730880 is not.

Almost surely, 2^{10873928365440} is an apocalyptic number.

10873928365440 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 10873928365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106516003840).

10873928365440 is an abundant number, since it is smaller than the sum of its proper divisors (29339103642240).

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

10873928365440 is a wasteful number, since it uses less digits than its factorization.

10873928365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 10873928365440 in words is "ten trillion, eight hundred seventy-three billion, nine hundred twenty-eight million, three hundred sixty-five thousand, four hundred forty".