5165863669120 has 512 divisors, whose sum is σ = 16232021360640. Its totient is φ = 1525024972800.

The previous prime is 5165863669067. The next prime is 5165863669147. The reversal of 5165863669120 is 219663685615.

It is a super-2 number, since 2×5165863669120² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 71764987 + ... + 71836933.

It is an arithmetic number, because the mean of its divisors is an integer number (31703166720).

Almost surely, 2^{5165863669120} 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 5165863669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116010680320).

5165863669120 is an abundant number, since it is smaller than the sum of its proper divisors (11066157691520).

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

5165863669120 is a wasteful number, since it uses less digits than its factorization.

5165863669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72062 (or 72050 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 5165863669120 in words is "five trillion, one hundred sixty-five billion, eight hundred sixty-three million, six hundred sixty-nine thousand, one hundred twenty".