5159603383200 has 2880 divisors, whose sum is σ = 23502745728000. Its totient is φ = 1075491717120.

The previous prime is 5159603383153. The next prime is 5159603383223. The reversal of 5159603383200 is 23833069515.

It is a happy number.

5159603383200 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 60 + 3 + 383 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 37119448731 + ... + 37119448869.

It is an arithmetic number, because the mean of its divisors is an integer number (8160675600).

Almost surely, 2^{5159603383200} is an apocalyptic number.

5159603383200 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 5159603383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751372864000).

5159603383200 is an abundant number, since it is smaller than the sum of its proper divisors (18343142344800).

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

5159603383200 is a wasteful number, since it uses less digits than its factorization.

5159603383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5159603383200 in words is "five trillion, one hundred fifty-nine billion, six hundred three million, three hundred eighty-three thousand, two hundred".