5019237964800 has 2640 divisors, whose sum is σ = 21228955545600. Its totient is φ = 1164931891200.

The previous prime is 5019237964757. The next prime is 5019237964801. The reversal of 5019237964800 is 84697329105.

5019237964800 is a `hidden beast` number, since 5 + 0 + 1 + 92 + 3 + 79 + 6 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019237964801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26278732705 + ... + 26278732895.

It is an arithmetic number, because the mean of its divisors is an integer number (8041271040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5019237964800 = 10038475929600, but 3⋅5019237964800 = 15057713894400 is not.

Almost surely, 2^{5019237964800} is an apocalyptic number.

5019237964800 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 5019237964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614477772800).

5019237964800 is an abundant number, since it is smaller than the sum of its proper divisors (16209717580800).

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

5019237964800 is a wasteful number, since it uses less digits than its factorization.

5019237964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 5019237964800 in words is "five trillion, nineteen billion, two hundred thirty-seven million, nine hundred sixty-four thousand, eight hundred".