5905262880 has 480 divisors, whose sum is σ = 23736924288. Its totient is φ = 1368576000.

The previous prime is 5905262801. The next prime is 5905262899. The reversal of 5905262880 is 882625095.

5905262880 is a `hidden beast` number, since 590 + 52 + 6 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3277980 + ... + 3279780.

Almost surely, 2^5905262880 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 5905262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868462144).

5905262880 is an abundant number, since it is smaller than the sum of its proper divisors (17831661408).

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

5905262880 is a wasteful number, since it uses less digits than its factorization.

5905262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5905262880 is about 76845.7082731365. The cubic root of 5905262880 is about 1807.5059898908.

The spelling of 5905262880 in words is "five billion, nine hundred five million, two hundred sixty-two thousand, eight hundred eighty".