5905966080 has 704 divisors, whose sum is σ = 23581440000. Its totient is φ = 1257209856.

The previous prime is 5905966067. The next prime is 5905966093. The reversal of 5905966080 is 806695095.

It is an interprime number because it is at equal distance from previous prime (5905966067) and next prime (5905966093).

It is a super-2 number, since 2×5905966080² = 69760870676221132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100101091 + ... + 100101149.

Almost surely, 2^5905966080 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 5905966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790720000).

5905966080 is an abundant number, since it is smaller than the sum of its proper divisors (17675473920).

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

5905966080 is a wasteful number, since it uses less digits than its factorization.

5905966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 5905966080 is about 76850.2835388393. The cubic root of 5905966080 is about 1807.5777331131.

The spelling of 5905966080 in words is "five billion, nine hundred five million, nine hundred sixty-six thousand, eighty".