5877505920 has 256 divisors, whose sum is σ = 22010849280. Its totient is φ = 1315184640.

The previous prime is 5877505919. The next prime is 5877505927. The reversal of 5877505920 is 295057785.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5877505920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877505927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 263857 + ... + 285263.

It is an arithmetic number, because the mean of its divisors is an integer number (85979880).

Almost surely, 2^5877505920 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 5877505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11005424640).

5877505920 is an abundant number, since it is smaller than the sum of its proper divisors (16133343360).

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

5877505920 is a wasteful number, since it uses less digits than its factorization.

5877505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21453 (or 21441 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 5877505920 is about 76664.8936606580. The cubic root of 5877505920 is about 1804.6695547917.

The spelling of 5877505920 in words is "five billion, eight hundred seventy-seven million, five hundred five thousand, nine hundred twenty".