5878217520 has 320 divisors, whose sum is σ = 23887994880. Its totient is φ = 1300147200.

The previous prime is 5878217507. The next prime is 5878217537. The reversal of 5878217520 is 257128785.

5878217520 is a `hidden beast` number, since 58 + 78 + 2 + 1 + 7 + 520 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462450 + ... + 474990.

It is an arithmetic number, because the mean of its divisors is an integer number (74649984).

Almost surely, 2^5878217520 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 5878217520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943997440).

5878217520 is an abundant number, since it is smaller than the sum of its proper divisors (18009777360).

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

5878217520 is a wasteful number, since it uses less digits than its factorization.

5878217520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5878217520 is about 76669.5344970869. The cubic root of 5878217520 is about 1804.7423833604.

The spelling of 5878217520 in words is "five billion, eight hundred seventy-eight million, two hundred seventeen thousand, five hundred twenty".