5905690560 has 840 divisors, whose sum is σ = 26487790560. Its totient is φ = 1222594560.

The previous prime is 5905690559. The next prime is 5905690579. The reversal of 5905690560 is 650965095.

5905690560 is a `hidden beast` number, since 590 + 5 + 6 + 9 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×5905690560² = 69754361980946227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954106 + ... + 21954374.

It is an arithmetic number, because the mean of its divisors is an integer number (31533084).

Almost surely, 2^5905690560 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 5905690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243895280).

5905690560 is an abundant number, since it is smaller than the sum of its proper divisors (20582100000).

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

5905690560 is a wasteful number, since it uses less digits than its factorization.

5905690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 5905690560 is about 76848.4909415923. The cubic root of 5905690560 is about 1807.5496241606.

The spelling of 5905690560 in words is "five billion, nine hundred five million, six hundred ninety thousand, five hundred sixty".