5057759616 has 768 divisors, whose sum is σ = 18753638400. Its totient is φ = 1192181760.

The previous prime is 5057759611. The next prime is 5057759627. The reversal of 5057759616 is 6169577505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5057759611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163153521 + ... + 163153551.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^5057759616 is an apocalyptic number.

5057759616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376819200).

5057759616 is an abundant number, since it is smaller than the sum of its proper divisors (13695878784).

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

5057759616 is a wasteful number, since it uses less digits than its factorization.

5057759616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 51.

The square root of 5057759616 is about 71117.9275288587. The cubic root of 5057759616 is about 1716.5352571962.

The spelling of 5057759616 in words is "five billion, fifty-seven million, seven hundred fifty-nine thousand, six hundred sixteen".