6517162149120 has 1296 divisors, whose sum is σ = 28321895871360. Its totient is φ = 1353525755904.

The previous prime is 6517162149107. The next prime is 6517162149143. The reversal of 6517162149120 is 219412617156.

6517162149120 is a `hidden beast` number, since 6 + 5 + 1 + 7 + 1 + 621 + 4 + 9 + 12 + 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 143 ways as a sum of consecutive naturals, for example, 675839019 + ... + 675848661.

Almost surely, 2^{6517162149120} is an apocalyptic number.

6517162149120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6517162149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160947935680).

6517162149120 is an abundant number, since it is smaller than the sum of its proper divisors (21804733722240).

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

6517162149120 is a wasteful number, since it uses less digits than its factorization.

6517162149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 6517162149120 in words is "six trillion, five hundred seventeen billion, one hundred sixty-two million, one hundred forty-nine thousand, one hundred twenty".