5054128416 has 72 divisors (see below), whose sum is σ = 14406226380. Its totient is φ = 1680777216.

The previous prime is 5054128403. The next prime is 5054128433. The reversal of 5054128416 is 6148214505.

It is a happy number.

5054128416 is a `hidden beast` number, since 50 + 541 + 28 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5038160400 + 15968016 = 70980^2 + 3996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104440 + ... + 144968.

Almost surely, 2^5054128416 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 5054128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203113190).

5054128416 is an abundant number, since it is smaller than the sum of its proper divisors (9352097964).

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

5054128416 is a wasteful number, since it uses less digits than its factorization.

5054128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40978 (or 40967 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5054128416 is about 71092.3935171689. The cubic root of 5054128416 is about 1716.1243654466.

The spelling of 5054128416 in words is "five billion, fifty-four million, one hundred twenty-eight thousand, four hundred sixteen".