5662168512 has 448 divisors, whose sum is σ = 21310055424. Its totient is φ = 1276968960.

The previous prime is 5662168453. The next prime is 5662168513. The reversal of 5662168512 is 2158612665.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662168513) 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 63 ways as a sum of consecutive naturals, for example, 3266398 + ... + 3268130.

It is an arithmetic number, because the mean of its divisors is an integer number (47567088).

Almost surely, 2^5662168512 is an apocalyptic number.

5662168512 is a gapful number since it is divisible by the number (52) 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 5662168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655027712).

5662168512 is an abundant number, since it is smaller than the sum of its proper divisors (15647886912).

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

5662168512 is a wasteful number, since it uses less digits than its factorization.

5662168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1786 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 5662168512 is about 75247.3820939971. The cubic root of 5662168512 is about 1782.3552242479.

The spelling of 5662168512 in words is "five billion, six hundred sixty-two million, one hundred sixty-eight thousand, five hundred twelve".