5585961920 has 448 divisors, whose sum is σ = 17528389632. Its totient is φ = 1645056000.

The previous prime is 5585961919. The next prime is 5585961923. The reversal of 5585961920 is 291695855.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585961923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54232589 + ... + 54232691.

Almost surely, 2^5585961920 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 5585961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764194816).

5585961920 is an abundant number, since it is smaller than the sum of its proper divisors (11942427712).

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

5585961920 is a wasteful number, since it uses less digits than its factorization.

5585961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 50.

The square root of 5585961920 is about 74739.2930124443. The cubic root of 5585961920 is about 1774.3228966701.

The spelling of 5585961920 in words is "five billion, five hundred eighty-five million, nine hundred sixty-one thousand, nine hundred twenty".