5488918118400 has 720 divisors, whose sum is σ = 18619826254848. Its totient is φ = 1426194432000.

The previous prime is 5488918118393. The next prime is 5488918118471. The reversal of 5488918118400 is 48118198845.

It is a happy number.

It is a super-2 number, since 2×5488918118400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17649254245 + ... + 17649254555.

Almost surely, 2^{5488918118400} is an apocalyptic number.

5488918118400 is a gapful number since it is divisible by the number (50) 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 5488918118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309913127424).

5488918118400 is an abundant number, since it is smaller than the sum of its proper divisors (13130908136448).

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

5488918118400 is a wasteful number, since it uses less digits than its factorization.

5488918118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 57.

The spelling of 5488918118400 in words is "five trillion, four hundred eighty-eight billion, nine hundred eighteen million, one hundred eighteen thousand, four hundred".