5127964416 has 144 divisors (see below), whose sum is σ = 15962822400. Its totient is φ = 1619315712.

The previous prime is 5127964393. The next prime is 5127964427. The reversal of 5127964416 is 6144697215.

5127964416 is a `hidden beast` number, since 512 + 7 + 96 + 4 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111805 + ... + 150851.

Almost surely, 2^5127964416 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 5127964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981411200).

5127964416 is an abundant number, since it is smaller than the sum of its proper divisors (10834857984).

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

5127964416 is a wasteful number, since it uses less digits than its factorization.

5127964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39091 (or 39071 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5127964416 is about 71609.8067027136. The cubic root of 5127964416 is about 1724.4409772685.

The spelling of 5127964416 in words is "five billion, one hundred twenty-seven million, nine hundred sixty-four thousand, four hundred sixteen".