953893124128 has 96 divisors (see below), whose sum is σ = 2160305150976. Its totient is φ = 406138053888.

The previous prime is 953893124113. The next prime is 953893124137. The reversal of 953893124128 is 821421398359.

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 15 ways as a sum of consecutive naturals, for example, 141042475 + ... + 141049237.

It is an arithmetic number, because the mean of its divisors is an integer number (22503178656).

Almost surely, 2^953893124128 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 953893124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080152575488).

953893124128 is an abundant number, since it is smaller than the sum of its proper divisors (1206412026848).

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

953893124128 is a wasteful number, since it uses less digits than its factorization.

953893124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10798 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The spelling of 953893124128 in words is "nine hundred fifty-three billion, eight hundred ninety-three million, one hundred twenty-four thousand, one hundred twenty-eight".