5657141952 has 896 divisors, whose sum is σ = 22858536960. Its totient is φ = 1327104000.

The previous prime is 5657141929. The next prime is 5657142019. The reversal of 5657141952 is 2591417565.

It is a happy number.

5657141952 is a `hidden beast` number, since 565 + 71 + 4 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5657141898 and 5657141907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92740002 + ... + 92740062.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^5657141952 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 5657141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429268480).

5657141952 is an abundant number, since it is smaller than the sum of its proper divisors (17201395008).

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

5657141952 is a wasteful number, since it uses less digits than its factorization.

5657141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 5657141952 is about 75213.9744462424. The cubic root of 5657141952 is about 1781.8276426390.

The spelling of 5657141952 in words is "five billion, six hundred fifty-seven million, one hundred forty-one thousand, nine hundred fifty-two".