5119719420816 has 320 divisors, whose sum is σ = 19731010467840. Its totient is φ = 1227505052160.

The previous prime is 5119719420763. The next prime is 5119719420817. The reversal of 5119719420816 is 6180249179115.

5119719420816 is a `hidden beast` number, since 5 + 1 + 197 + 19 + 420 + 8 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5119719420817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5487250 + ... + 6352113.

It is an arithmetic number, because the mean of its divisors is an integer number (61659407712).

Almost surely, 2^{5119719420816} is an apocalyptic number.

5119719420816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5119719420816 is an abundant number, since it is smaller than the sum of its proper divisors (14611291047024).

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

5119719420816 is a wasteful number, since it uses less digits than its factorization.

5119719420816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839411 (or 11839399 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 5119719420816 in words is "five trillion, one hundred nineteen billion, seven hundred nineteen million, four hundred twenty thousand, eight hundred sixteen".