5905170880 has 224 divisors, whose sum is σ = 17053194240. Its totient is φ = 1903841280.

The previous prime is 5905170877. The next prime is 5905170889. The reversal of 5905170880 is 880715095.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905170889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3141781 + ... + 3143659.

Almost surely, 2^5905170880 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 5905170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526597120).

5905170880 is an abundant number, since it is smaller than the sum of its proper divisors (11148023360).

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

5905170880 is a wasteful number, since it uses less digits than its factorization.

5905170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The square root of 5905170880 is about 76845.1096687356. The cubic root of 5905170880 is about 1807.4966032686.

The spelling of 5905170880 in words is "five billion, nine hundred five million, one hundred seventy thousand, eight hundred eighty".