5189951520 has 576 divisors, whose sum is σ = 20077424640. Its totient is φ = 1212309504.

The previous prime is 5189951519. The next prime is 5189951527. The reversal of 5189951520 is 251599815.

5189951520 is a `hidden beast` number, since 51 + 89 + 9 + 515 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5189951527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40865697 + ... + 40865823.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^5189951520 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 5189951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

5189951520 is an abundant number, since it is smaller than the sum of its proper divisors (14887473120).

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

5189951520 is a wasteful number, since it uses less digits than its factorization.

5189951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 5189951520 is about 72041.3181445204. The cubic root of 5189951520 is about 1731.3615441257.

The spelling of 5189951520 in words is "five billion, one hundred eighty-nine million, nine hundred fifty-one thousand, five hundred twenty".