10143509253904 has 120 divisors (see below), whose sum is σ = 21556561303680. Its totient is φ = 4621315286016.

The previous prime is 10143509253883. The next prime is 10143509253907. The reversal of 10143509253904 is 40935290534101.

It is not an unprimeable number, because it can be changed into a prime (10143509253907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87116077 + ... + 87232435.

It is an arithmetic number, because the mean of its divisors is an integer number (179638010864).

Almost surely, 2^{10143509253904} 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 10143509253904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10778280651840).

10143509253904 is an abundant number, since it is smaller than the sum of its proper divisors (11413052049776).

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

10143509253904 is a wasteful number, since it uses less digits than its factorization.

10143509253904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116809 (or 116790 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 10143509253904 in words is "ten trillion, one hundred forty-three billion, five hundred nine million, two hundred fifty-three thousand, nine hundred four".