5319372340800 has 1008 divisors, whose sum is σ = 23107520399040. Its totient is φ = 1186182144000.

The previous prime is 5319372340783. The next prime is 5319372340813. The reversal of 5319372340800 is 80432739135.

5319372340800 is a `hidden beast` number, since 53 + 193 + 7 + 2 + 3 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86758155 + ... + 86819445.

It is an arithmetic number, because the mean of its divisors is an integer number (22924127380).

Almost surely, 2^{5319372340800} is an apocalyptic number.

5319372340800 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 5319372340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553760199520).

5319372340800 is an abundant number, since it is smaller than the sum of its proper divisors (17788148058240).

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

5319372340800 is a wasteful number, since it uses less digits than its factorization.

5319372340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61377 (or 61349 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5319372340800 in words is "five trillion, three hundred nineteen billion, three hundred seventy-two million, three hundred forty thousand, eight hundred".