5962438656 has 144 divisors (see below), whose sum is σ = 17506223280. Its totient is φ = 1954529280.

The previous prime is 5962438637. The next prime is 5962438673. The reversal of 5962438656 is 6568342695.

5962438656 is a `hidden beast` number, since 5 + 9 + 624 + 3 + 8 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1121701 + ... + 1127003.

It is an arithmetic number, because the mean of its divisors is an integer number (121570995).

Almost surely, 2^5962438656 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 5962438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753111640).

5962438656 is an abundant number, since it is smaller than the sum of its proper divisors (11543784624).

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

5962438656 is a wasteful number, since it uses less digits than its factorization.

5962438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5369 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5962438656 is about 77216.8288393146. The cubic root of 5962438656 is about 1813.3207919163.

The spelling of 5962438656 in words is "five billion, nine hundred sixty-two million, four hundred thirty-eight thousand, six hundred fifty-six".