5111824896 has 320 divisors, whose sum is σ = 16086470400. Its totient is φ = 1599897600.

The previous prime is 5111824891. The next prime is 5111824943. The reversal of 5111824896 is 6984281115.

It is a happy number.

5111824896 is a `hidden beast` number, since 51 + 118 + 2 + 489 + 6 = 666.

It is a super-2 number, since 2×5111824896² = 52261507534730821632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5111824891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16436581 + ... + 16436891.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^5111824896 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 5111824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043235200).

5111824896 is an abundant number, since it is smaller than the sum of its proper divisors (10974645504).

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

5111824896 is a wasteful number, since it uses less digits than its factorization.

5111824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 5111824896 is about 71497.0271829536. The cubic root of 5111824896 is about 1722.6299337934.

The spelling of 5111824896 in words is "five billion, one hundred eleven million, eight hundred twenty-four thousand, eight hundred ninety-six".