5190218046720 has 1728 divisors, whose sum is σ = 22212066240000. Its totient is φ = 1115361902592.

The previous prime is 5190218046683. The next prime is 5190218046809. The reversal of 5190218046720 is 276408120915.

5190218046720 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 2 + 180 + 467 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 19294490746 + ... + 19294491014.

It is an arithmetic number, because the mean of its divisors is an integer number (12854205000).

Almost surely, 2^{5190218046720} 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 5190218046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106033120000).

5190218046720 is an abundant number, since it is smaller than the sum of its proper divisors (17021848193280).

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

5190218046720 is a wasteful number, since it uses less digits than its factorization.

5190218046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 5190218046720 in words is "five trillion, one hundred ninety billion, two hundred eighteen million, forty-six thousand, seven hundred twenty".