5642121582 has 80 divisors (see below), whose sum is σ = 13618040832. Its totient is φ = 1740871440.

The previous prime is 5642121581. The next prime is 5642121599. The reversal of 5642121582 is 2851212465.

5642121582 is a `hidden beast` number, since 5 + 64 + 2 + 12 + 1 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642121581) 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 39 ways as a sum of consecutive naturals, for example, 91083 + ... + 139929.

Almost surely, 2^5642121582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642121582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809020416).

5642121582 is an abundant number, since it is smaller than the sum of its proper divisors (7975919250).

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

5642121582 is a wasteful number, since it uses less digits than its factorization.

5642121582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48915 (or 48906 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5642121582 is about 75114.0571531055. The cubic root of 5642121582 is about 1780.2492583230.

The spelling of 5642121582 in words is "five billion, six hundred forty-two million, one hundred twenty-one thousand, five hundred eighty-two".