5935704896160 has 1152 divisors, whose sum is σ = 23874567575040. Its totient is φ = 1381626740736.

The previous prime is 5935704896119. The next prime is 5935704896167. The reversal of 5935704896160 is 616984075395.

5935704896160 is a `hidden beast` number, since 5 + 9 + 3 + 5 + 7 + 0 + 4 + 8 + 9 + 616 + 0 = 666.

It is a super-2 number, since 2×5935704896160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5935704896167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1034632812 + ... + 1034638548.

It is an arithmetic number, because the mean of its divisors is an integer number (20724451020).

Almost surely, 2^{5935704896160} 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 5935704896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937283787520).

5935704896160 is an abundant number, since it is smaller than the sum of its proper divisors (17938862678880).

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

5935704896160 is a wasteful number, since it uses less digits than its factorization.

5935704896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 5935704896160 in words is "five trillion, nine hundred thirty-five billion, seven hundred four million, eight hundred ninety-six thousand, one hundred sixty".