5939152800768 has 1056 divisors, whose sum is σ = 20528275502592. Its totient is φ = 1634992128000.

The previous prime is 5939152800643. The next prime is 5939152800797. The reversal of 5939152800768 is 8670082519395.

5939152800768 is a `hidden beast` number, since 5 + 9 + 39 + 1 + 528 + 0 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3709651168 + ... + 3709652768.

It is an arithmetic number, because the mean of its divisors is an integer number (19439654832).

Almost surely, 2^{5939152800768} 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 5939152800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264137751296).

5939152800768 is an abundant number, since it is smaller than the sum of its proper divisors (14589122701824).

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

5939152800768 is a wasteful number, since it uses less digits than its factorization.

5939152800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5939152800768 in words is "five trillion, nine hundred thirty-nine billion, one hundred fifty-two million, eight hundred thousand, seven hundred sixty-eight".