5159756448 has 432 divisors, whose sum is σ = 19078034976. Its totient is φ = 1307335680.

The previous prime is 5159756447. The next prime is 5159756453. The reversal of 5159756448 is 8446579515.

It is a happy number.

5159756448 is a `hidden beast` number, since 5 + 1 + 597 + 5 + 6 + 4 + 48 = 666.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5159756394 and 5159756403.

It is not an unprimeable number, because it can be changed into a prime (5159756447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6674590 + ... + 6675362.

It is an arithmetic number, because the mean of its divisors is an integer number (44162118).

Almost surely, 2^5159756448 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 5159756448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539017488).

5159756448 is an abundant number, since it is smaller than the sum of its proper divisors (13918278528).

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

5159756448 is a wasteful number, since it uses less digits than its factorization.

5159756448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 5159756448 is about 71831.4447021637. Note that the first 3 decimals coincide. The cubic root of 5159756448 is about 1727.9973315288.

The spelling of 5159756448 in words is "five billion, one hundred fifty-nine million, seven hundred fifty-six thousand, four hundred forty-eight".