5800376515200 has 384 divisors, whose sum is σ = 19358106001920. Its totient is φ = 1526319083520.

The previous prime is 5800376515189. The next prime is 5800376515211. The reversal of 5800376515200 is 25156730085.

It is an interprime number because it is at equal distance from previous prime (5800376515189) and next prime (5800376515211).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754565757 + ... + 754573443.

It is an arithmetic number, because the mean of its divisors is an integer number (50411734380).

Almost surely, 2^{5800376515200} is an apocalyptic number.

5800376515200 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 5800376515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679053000960).

5800376515200 is an abundant number, since it is smaller than the sum of its proper divisors (13557729486720).

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

5800376515200 is a wasteful number, since it uses less digits than its factorization.

5800376515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 5800376515200 in words is "five trillion, eight hundred billion, three hundred seventy-six million, five hundred fifteen thousand, two hundred".