5122411168896 has 384 divisors, whose sum is σ = 16969968512640. Its totient is φ = 1452800655360.

The previous prime is 5122411168871. The next prime is 5122411168943. The reversal of 5122411168896 is 6988611142215.

5122411168896 is a `hidden beast` number, since 5 + 122 + 411 + 16 + 8 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394610516 + ... + 1394614188.

It is an arithmetic number, because the mean of its divisors is an integer number (44192626335).

Almost surely, 2^{5122411168896} is an apocalyptic number.

5122411168896 is a gapful number since it is divisible by the number (56) 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 5122411168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484984256320).

5122411168896 is an abundant number, since it is smaller than the sum of its proper divisors (11847557343744).

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

5122411168896 is a wasteful number, since it uses less digits than its factorization.

5122411168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4909 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 5122411168896 in words is "five trillion, one hundred twenty-two billion, four hundred eleven million, one hundred sixty-eight thousand, eight hundred ninety-six".