5785891020 has 384 divisors, whose sum is σ = 23324313600. Its totient is φ = 1156322304.

The previous prime is 5785891003. The next prime is 5785891037. The reversal of 5785891020 is 201985875.

It is a happy number.

5785891020 is a `hidden beast` number, since 57 + 8 + 589 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5785891003) and next prime (5785891037).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 930562 + ... + 936758.

It is an arithmetic number, because the mean of its divisors is an integer number (60740400).

Almost surely, 2^5785891020 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 5785891020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662156800).

5785891020 is an abundant number, since it is smaller than the sum of its proper divisors (17538422580).

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

5785891020 is a wasteful number, since it uses less digits than its factorization.

5785891020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5785891020 is about 76065.0446657333. The cubic root of 5785891020 is about 1795.2437209640.

The spelling of 5785891020 in words is "five billion, seven hundred eighty-five million, eight hundred ninety-one thousand, twenty".