5128024233024 has 1008 divisors, whose sum is σ = 19143004233600. Its totient is φ = 1300629657600.

The previous prime is 5128024232951. The next prime is 5128024233037. The reversal of 5128024233024 is 4203324208215.

5128024233024 is a `hidden beast` number, since 5 + 1 + 2 + 80 + 242 + 330 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5128024233024.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24303432279 + ... + 24303432489.

Almost surely, 2^{5128024233024} 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 5128024233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571502116800).

5128024233024 is an abundant number, since it is smaller than the sum of its proper divisors (14014980000576).

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

5128024233024 is a wasteful number, since it uses less digits than its factorization.

5128024233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 5128024233024 in words is "five trillion, one hundred twenty-eight billion, twenty-four million, two hundred thirty-three thousand, twenty-four".