5578142588928 has 2016 divisors, whose sum is σ = 21585929391936. Its totient is φ = 1426010406912.

The previous prime is 5578142588923. The next prime is 5578142588933. The reversal of 5578142588928 is 8298852418755.

5578142588928 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 14 + 2 + 588 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5578142588923) and next prime (5578142588933).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×5578142588928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5578142588923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67206537175 + ... + 67206537257.

It is an arithmetic number, because the mean of its divisors is an integer number (10707306246).

Almost surely, 2^{5578142588928} 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 5578142588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792964695968).

5578142588928 is an abundant number, since it is smaller than the sum of its proper divisors (16007786803008).

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

5578142588928 is an equidigital number, since it uses as much as digits as its factorization.

5578142588928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its digits is 516096000, while the sum is 72.

The spelling of 5578142588928 in words is "five trillion, five hundred seventy-eight billion, one hundred forty-two million, five hundred eighty-eight thousand, nine hundred twenty-eight".