5962966560 has 288 divisors, whose sum is σ = 21178160640. Its totient is φ = 1527759360.

The previous prime is 5962966553. The next prime is 5962966577. The reversal of 5962966560 is 656692695.

5962966560 is a `hidden beast` number, since 5 + 9 + 629 + 6 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5962966497 and 5962966506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42898971 + ... + 42899109.

It is an arithmetic number, because the mean of its divisors is an integer number (73535280).

Almost surely, 2^5962966560 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 5962966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589080320).

5962966560 is an abundant number, since it is smaller than the sum of its proper divisors (15215194080).

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

5962966560 is a wasteful number, since it uses less digits than its factorization.

5962966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 180 counting only the distinct ones).

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

The square root of 5962966560 is about 77220.2470858518. The cubic root of 5962966560 is about 1813.3743064319.

The spelling of 5962966560 in words is "five billion, nine hundred sixty-two million, nine hundred sixty-six thousand, five hundred sixty".