5664120114510 has 192 divisors, whose sum is σ = 17303791167936. Its totient is φ = 1267313817600.

The previous prime is 5664120114481. The next prime is 5664120114539. The reversal of 5664120114510 is 154110214665.

5664120114510 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 1 + 20 + 114 + 510 = 666.

It is an interprime number because it is at equal distance from previous prime (5664120114481) and next prime (5664120114539).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102842380 + ... + 102897440.

It is an arithmetic number, because the mean of its divisors is an integer number (90123912333).

Almost surely, 2^{5664120114510} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664120114510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651895583968).

5664120114510 is an abundant number, since it is smaller than the sum of its proper divisors (11639671053426).

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

5664120114510 is a wasteful number, since it uses less digits than its factorization.

5664120114510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63091 (or 63088 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 5664120114510 in words is "five trillion, six hundred sixty-four billion, one hundred twenty million, one hundred fourteen thousand, five hundred ten".