5119608140820 has 144 divisors (see below), whose sum is σ = 15656987782800. Its totient is φ = 1354046496768.

The previous prime is 5119608140723. The next prime is 5119608140821. The reversal of 5119608140820 is 280418069115.

It is a happy number.

5119608140820 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 608 + 14 + 0 + 8 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 660559311504 + 4459048829316 = 812748^2 + 2111646^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5119608140821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17908042 + ... + 18191678.

It is an arithmetic number, because the mean of its divisors is an integer number (108729081825).

Almost surely, 2^{5119608140820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5119608140820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828493891400).

5119608140820 is an abundant number, since it is smaller than the sum of its proper divisors (10537379641980).

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

5119608140820 is a wasteful number, since it uses less digits than its factorization.

5119608140820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284474 (or 284469 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 5119608140820 in words is "five trillion, one hundred nineteen billion, six hundred eight million, one hundred forty thousand, eight hundred twenty".