5870581920 has 480 divisors, whose sum is σ = 23883285888. Its totient is φ = 1330255872.

The previous prime is 5870581919. The next prime is 5870581957. The reversal of 5870581920 is 291850785.

It is a happy number.

5870581920 is a `hidden beast` number, since 587 + 0 + 58 + 19 + 2 + 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 a congruent number.

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, 14787162 + ... + 14787558.

Almost surely, 2^5870581920 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 5870581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941642944).

5870581920 is an abundant number, since it is smaller than the sum of its proper divisors (18012703968).

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

5870581920 is a wasteful number, since it uses less digits than its factorization.

5870581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

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

The square root of 5870581920 is about 76619.7227872824. The cubic root of 5870581920 is about 1803.9606122475.

It can be divided in two parts, 58705 and 81920, that added together give a square (140625 = 375²).

The spelling of 5870581920 in words is "five billion, eight hundred seventy million, five hundred eighty-one thousand, nine hundred twenty".