5119882560 has 448 divisors, whose sum is σ = 19731532800. Its totient is φ = 1242169344.

The previous prime is 5119882553. The next prime is 5119882567. The reversal of 5119882560 is 652889115.

It is a happy number.

5119882560 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 8 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5119882553) and next prime (5119882567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5119882567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8872992 + ... + 8873568.

It is an arithmetic number, because the mean of its divisors is an integer number (44043600).

Almost surely, 2^5119882560 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 5119882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865766400).

5119882560 is an abundant number, since it is smaller than the sum of its proper divisors (14611650240).

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

5119882560 is a wasteful number, since it uses less digits than its factorization.

5119882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5119882560 is about 71553.3546383396. The cubic root of 5119882560 is about 1723.5345739659.

The spelling of 5119882560 in words is "five billion, one hundred nineteen million, eight hundred eighty-two thousand, five hundred sixty".