5890268160 has 440 divisors, whose sum is σ = 24134621280. Its totient is φ = 1345683456.

The previous prime is 5890268141. The next prime is 5890268173. The reversal of 5890268160 is 618620985.

5890268160 is a `hidden beast` number, since 589 + 0 + 2 + 6 + 8 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902026 + ... + 2904054.

It is an arithmetic number, because the mean of its divisors is an integer number (54851412).

Almost surely, 2^5890268160 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 5890268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067310640).

5890268160 is an abundant number, since it is smaller than the sum of its proper divisors (18244353120).

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

5890268160 is a wasteful number, since it uses less digits than its factorization.

5890268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5890268160 is about 76748.0824516157. The cubic root of 5890268160 is about 1805.9748122888.

The spelling of 5890268160 in words is "five billion, eight hundred ninety million, two hundred sixty-eight thousand, one hundred sixty".