5488414776768 has 504 divisors, whose sum is σ = 18714237782016. Its totient is φ = 1414300124160.

The previous prime is 5488414776749. The next prime is 5488414776769. The reversal of 5488414776768 is 8676774148845.

It is a self number, because there is not a number n which added to its sum of digits gives 5488414776768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488414776769) 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, 144553755 + ... + 144591717.

Almost surely, 2^{5488414776768} 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 5488414776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357118891008).

5488414776768 is an abundant number, since it is smaller than the sum of its proper divisors (13225823005248).

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

5488414776768 is a wasteful number, since it uses less digits than its factorization.

5488414776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38141 (or 38113 counting only the distinct ones).

The product of its digits is 2023096320, while the sum is 75.

The spelling of 5488414776768 in words is "five trillion, four hundred eighty-eight billion, four hundred fourteen million, seven hundred seventy-six thousand, seven hundred sixty-eight".