5071096800 has 576 divisors, whose sum is σ = 22873536000. Its totient is φ = 1053388800.

The previous prime is 5071096799. The next prime is 5071096801. The reversal of 5071096800 is 86901705.

It is an interprime number because it is at equal distance from previous prime (5071096799) and next prime (5071096801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5071096801) 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, 1661676 + ... + 1664724.

It is an arithmetic number, because the mean of its divisors is an integer number (39711000).

Almost surely, 2^5071096800 is an apocalyptic number.

5071096800 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 5071096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436768000).

5071096800 is an abundant number, since it is smaller than the sum of its proper divisors (17802439200).

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

5071096800 is a wasteful number, since it uses less digits than its factorization.

5071096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5071096800 is about 71211.6338809889. The cubic root of 5071096800 is about 1718.0427528941.

It can be divided in two parts, 50 and 71096800, that added together give a triangular number (71096850 = T₁₁₉₂₄).

The spelling of 5071096800 in words is "five billion, seventy-one million, ninety-six thousand, eight hundred".