5112940105728 has 1664 divisors, whose sum is σ = 19375319040000. Its totient is φ = 1296824795136.

The previous prime is 5112940105687. The next prime is 5112940105771. The reversal of 5112940105728 is 8275010492115.

5112940105728 is a `hidden beast` number, since 5 + 1 + 1 + 29 + 40 + 10 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×5112940105728² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46907707338 + ... + 46907707446.

Almost surely, 2^{5112940105728} 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 5112940105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687659520000).

5112940105728 is an abundant number, since it is smaller than the sum of its proper divisors (14262378934272).

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

5112940105728 is a wasteful number, since it uses less digits than its factorization.

5112940105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 5112940105728 in words is "five trillion, one hundred twelve billion, nine hundred forty million, one hundred five thousand, seven hundred twenty-eight".