5163771150720 has 3072 divisors, whose sum is σ = 24431055667200. Its totient is φ = 1017336692736.

The previous prime is 5163771150701. The next prime is 5163771150739. The reversal of 5163771150720 is 270511773615.

5163771150720 is a `hidden beast` number, since 5 + 1 + 63 + 77 + 11 + 507 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5163771150701) and next prime (5163771150739).

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 383 ways as a sum of consecutive naturals, for example, 40659615297 + ... + 40659615423.

It is an arithmetic number, because the mean of its divisors is an integer number (7952817600).

Almost surely, 2^{5163771150720} 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 5163771150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215527833600).

5163771150720 is an abundant number, since it is smaller than the sum of its proper divisors (19267284516480).

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

5163771150720 is a wasteful number, since it uses less digits than its factorization.

5163771150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 5163771150720 in words is "five trillion, one hundred sixty-three billion, seven hundred seventy-one million, one hundred fifty thousand, seven hundred twenty".