5019854400 has 756 divisors, whose sum is σ = 20366762416. Its totient is φ = 1170892800.

The previous prime is 5019854381. The next prime is 5019854407. The reversal of 5019854400 is 44589105.

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

It is not an unprimeable number, because it can be changed into a prime (5019854407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74923167 + ... + 74923233.

Almost surely, 2^5019854400 is an apocalyptic number.

5019854400 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 5019854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183381208).

5019854400 is an abundant number, since it is smaller than the sum of its proper divisors (15346908016).

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

5019854400 is a wasteful number, since it uses less digits than its factorization.

5019854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5019854400 is about 70850.9308336877. The cubic root of 5019854400 is about 1712.2363271741.

The spelling of 5019854400 in words is "five billion, nineteen million, eight hundred fifty-four thousand, four hundred".