5088680448 has 320 divisors, whose sum is σ = 15450082560. Its totient is φ = 1479278592.

The previous prime is 5088680447. The next prime is 5088680497. The reversal of 5088680448 is 8440868805.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 5088680448.

It is not an unprimeable number, because it can be changed into a prime (5088680447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22221198 + ... + 22221426.

It is an arithmetic number, because the mean of its divisors is an integer number (48281508).

Almost surely, 2^5088680448 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 5088680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725041280).

5088680448 is an abundant number, since it is smaller than the sum of its proper divisors (10361402112).

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

5088680448 is a wasteful number, since it uses less digits than its factorization.

5088680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The square root of 5088680448 is about 71334.9875446824. The cubic root of 5088680448 is about 1720.0261903349.

The spelling of 5088680448 in words is "five billion, eighty-eight million, six hundred eighty thousand, four hundred forty-eight".