5061384681696 has 288 divisors, whose sum is σ = 18174386700288. Its totient is φ = 1301868564480.

The previous prime is 5061384681677. The next prime is 5061384681697. The reversal of 5061384681696 is 6961864831605.

5061384681696 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 3 + 8 + 468 + 169 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5061384681696² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061384681697) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2422240 + ... + 3998751.

It is an arithmetic number, because the mean of its divisors is an integer number (63105509376).

Almost surely, 2^{5061384681696} is an apocalyptic number.

5061384681696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5061384681696 is an abundant number, since it is smaller than the sum of its proper divisors (13113002018592).

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

5061384681696 is a wasteful number, since it uses less digits than its factorization.

5061384681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421054 (or 6421043 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 5061384681696 in words is "five trillion, sixty-one billion, three hundred eighty-four million, six hundred eighty-one thousand, six hundred ninety-six".