5488578144 has 240 divisors, whose sum is σ = 18617927328. Its totient is φ = 1553707008.

The previous prime is 5488578131. The next prime is 5488578149. The reversal of 5488578144 is 4418758845.

5488578144 is a `hidden beast` number, since 54 + 8 + 8 + 578 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488578149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2048934 + ... + 2051610.

Almost surely, 2^5488578144 is an apocalyptic number.

5488578144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5488578144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308963664).

5488578144 is an abundant number, since it is smaller than the sum of its proper divisors (13129349184).

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

5488578144 is a wasteful number, since it uses less digits than its factorization.

5488578144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2802 counting only the distinct ones).

The product of its digits is 5734400, while the sum is 54.

The square root of 5488578144 is about 74084.9387122646. The cubic root of 5488578144 is about 1763.9514077965.

The spelling of 5488578144 in words is "five billion, four hundred eighty-eight million, five hundred seventy-eight thousand, one hundred forty-four".