5059406044800 has 288 divisors, whose sum is σ = 18075034954080. Its totient is φ = 1347537192960.

The previous prime is 5059406044769. The next prime is 5059406044831. The reversal of 5059406044800 is 84406049505.

5059406044800 is a `hidden beast` number, since 50 + 594 + 0 + 6 + 0 + 4 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5059406044769) and next prime (5059406044831).

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 23711389 + ... + 23923811.

It is an arithmetic number, because the mean of its divisors is an integer number (62760538035).

Almost surely, 2^{5059406044800} is an apocalyptic number.

5059406044800 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 5059406044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037517477040).

5059406044800 is an abundant number, since it is smaller than the sum of its proper divisors (13015628909280).

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

5059406044800 is a wasteful number, since it uses less digits than its factorization.

5059406044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213280 (or 213260 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5059406044800 in words is "five trillion, fifty-nine billion, four hundred six million, forty-four thousand, eight hundred".