5077833600 has 768 divisors, whose sum is σ = 20823667200. Its totient is φ = 1061683200.

The previous prime is 5077833599. The next prime is 5077833601. The reversal of 5077833600 is 63387705.

It is an interprime number because it is at equal distance from previous prime (5077833599) and next prime (5077833601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077833601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52348752 + ... + 52348848.

It is an arithmetic number, because the mean of its divisors is an integer number (27114150).

Almost surely, 2^5077833600 is an apocalyptic number.

5077833600 is a gapful number since it is divisible by the number (50) 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 5077833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411833600).

5077833600 is an abundant number, since it is smaller than the sum of its proper divisors (15745833600).

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

5077833600 is a wasteful number, since it uses less digits than its factorization.

5077833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 5077833600 is about 71258.9194417092. The cubic root of 5077833600 is about 1718.8032056698.

The spelling of 5077833600 in words is "five billion, seventy-seven million, eight hundred thirty-three thousand, six hundred".