553128045649920 has 6048 divisors, whose sum is σ = 2463763726150272. Its totient is φ = 118347270193152.

The previous prime is 553128045649901. The next prime is 553128045649939. The reversal of 553128045649920 is 29946540821355.

553128045649920 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 2 + 80 + 45 + 6 + 499 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (553128045649901) and next prime (553128045649939).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 19073380884466 + ... + 19073380884494.

It is an arithmetic number, because the mean of its divisors is an integer number (407368340964).

Almost surely, 2^{553128045649920} 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 553128045649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231881863075136).

553128045649920 is an abundant number, since it is smaller than the sum of its proper divisors (1910635680500352).

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

553128045649920 is a wasteful number, since it uses less digits than its factorization.

553128045649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 553128045649920 in words is "five hundred fifty-three trillion, one hundred twenty-eight billion, forty-five million, six hundred forty-nine thousand, nine hundred twenty".