5088395676672 has 1188 divisors, whose sum is σ = 19487889930600. Its totient is φ = 1321278013440.

The previous prime is 5088395676667. The next prime is 5088395676673. The reversal of 5088395676672 is 2766765938805.

It is a happy number.

5088395676672 is a `hidden beast` number, since 50 + 8 + 8 + 3 + 9 + 567 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5088395676672.

It is not an unprimeable number, because it can be changed into a prime (5088395676673) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1475323204 + ... + 1475326652.

Almost surely, 2^{5088395676672} 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 5088395676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743944965300).

5088395676672 is an abundant number, since it is smaller than the sum of its proper divisors (14399494253928).

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

5088395676672 is a wasteful number, since it uses less digits than its factorization.

5088395676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 5088395676672 in words is "five trillion, eighty-eight billion, three hundred ninety-five million, six hundred seventy-six thousand, six hundred seventy-two".