5905934496 has 576 divisors, whose sum is σ = 22100262912. Its totient is φ = 1463616000.

The previous prime is 5905934479. The next prime is 5905934509. The reversal of 5905934496 is 6944395095.

5905934496 is a `hidden beast` number, since 5 + 9 + 0 + 593 + 4 + 49 + 6 = 666.

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, 83182141 + ... + 83182211.

It is an arithmetic number, because the mean of its divisors is an integer number (38368512).

Almost surely, 2^5905934496 is an apocalyptic number.

5905934496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5905934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050131456).

5905934496 is an abundant number, since it is smaller than the sum of its proper divisors (16194328416).

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

5905934496 is a wasteful number, since it uses less digits than its factorization.

5905934496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 5905934496 is about 76850.0780481061. The cubic root of 5905934496 is about 1807.5745109117.

The spelling of 5905934496 in words is "five billion, nine hundred five million, nine hundred thirty-four thousand, four hundred ninety-six".