5962966506 has 96 divisors (see below), whose sum is σ = 15351897600. Its totient is φ = 1671467616.

The previous prime is 5962966483. The next prime is 5962966547. The reversal of 5962966506 is 6056692695.

5962966506 is a `hidden beast` number, since 5 + 9 + 629 + 6 + 6 + 5 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318111 + ... + 336333.

It is an arithmetic number, because the mean of its divisors is an integer number (159915600).

Almost surely, 2^5962966506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5962966506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675948800).

5962966506 is an abundant number, since it is smaller than the sum of its proper divisors (9388931094).

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

5962966506 is a wasteful number, since it uses less digits than its factorization.

5962966506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18305 (or 18288 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 5962966506 is about 77220.2467362025. The cubic root of 5962966506 is about 1813.3743009580.

The spelling of 5962966506 in words is "five billion, nine hundred sixty-two million, nine hundred sixty-six thousand, five hundred six".