5186774517120 has 768 divisors, whose sum is σ = 22814065497600. Its totient is φ = 1057080803328.

The previous prime is 5186774517019. The next prime is 5186774517173. The reversal of 5186774517120 is 217154776815.

It is a happy number.

5186774517120 is a `hidden beast` number, since 5 + 1 + 8 + 67 + 7 + 451 + 7 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12824227 + ... + 13222493.

It is an arithmetic number, because the mean of its divisors is an integer number (29705814450).

Almost surely, 2^{5186774517120} 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 5186774517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11407032748800).

5186774517120 is an abundant number, since it is smaller than the sum of its proper divisors (17627290980480).

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

5186774517120 is a wasteful number, since it uses less digits than its factorization.

5186774517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398335 (or 398320 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 5186774517120 in words is "five trillion, one hundred eighty-six billion, seven hundred seventy-four million, five hundred seventeen thousand, one hundred twenty".