5159830412400 has 240 divisors, whose sum is σ = 16852846348800. Its totient is φ = 1349005132800.

The previous prime is 5159830412393. The next prime is 5159830412419. The reversal of 5159830412400 is 42140389515.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 88947405 + ... + 89005395.

It is an arithmetic number, because the mean of its divisors is an integer number (70220193120).

Almost surely, 2^{5159830412400} is an apocalyptic number.

5159830412400 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 5159830412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426423174400).

5159830412400 is an abundant number, since it is smaller than the sum of its proper divisors (11693015936400).

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

5159830412400 is a wasteful number, since it uses less digits than its factorization.

5159830412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59464 (or 59453 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 5159830412400 in words is "five trillion, one hundred fifty-nine billion, eight hundred thirty million, four hundred twelve thousand, four hundred".