5088448512 has 390 divisors, whose sum is σ = 17738904678. Its totient is φ = 1449197568.

The previous prime is 5088448511. The next prime is 5088448537. The reversal of 5088448512 is 2158448805.

5088448512 is a `hidden beast` number, since 50 + 8 + 84 + 4 + 8 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2747437056 + 2341011456 = 52416^2 + 48384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088448511) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256868 + ... + 16257180.

Almost surely, 2^5088448512 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 5088448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869452339).

5088448512 is an abundant number, since it is smaller than the sum of its proper divisors (12650456166).

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

5088448512 is an equidigital number, since it uses as much as digits as its factorization.

5088448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 5088448512 is about 71333.3618442311. The cubic root of 5088448512 is about 1720.0000576888. Note that the first 4 decimals are identical.

It can be divided in two parts, 5088448 and 512, that multiplied together give a cube (2605285376 = 1376³).

The spelling of 5088448512 in words is "five billion, eighty-eight million, four hundred forty-eight thousand, five hundred twelve".