5142728438064 has 400 divisors, whose sum is σ = 17800265472000. Its totient is φ = 1402468162560.

The previous prime is 5142728438059. The next prime is 5142728438087. The reversal of 5142728438064 is 4608348272415.

5142728438064 is a `hidden beast` number, since 5 + 1 + 427 + 2 + 84 + 3 + 80 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5142728438064.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20404687 + ... + 20655185.

It is an arithmetic number, because the mean of its divisors is an integer number (44500663680).

Almost surely, 2^{5142728438064} is an apocalyptic number.

5142728438064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142728438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900132736000).

5142728438064 is an abundant number, since it is smaller than the sum of its proper divisors (12657537033936).

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

5142728438064 is a wasteful number, since it uses less digits than its factorization.

5142728438064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250630 (or 250615 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 5142728438064 in words is "five trillion, one hundred forty-two billion, seven hundred twenty-eight million, four hundred thirty-eight thousand, sixty-four".