5488211232000 has 1728 divisors, whose sum is σ = 23504062353408. Its totient is φ = 1203240960000.

The previous prime is 5488211231941. The next prime is 5488211232043. The reversal of 5488211232000 is 2321128845.

It is a happy number.

5488211232000 is a `hidden beast` number, since 548 + 82 + 1 + 1 + 2 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 8561951680 + ... + 8561952320.

It is an arithmetic number, because the mean of its divisors is an integer number (13601887936).

Almost surely, 2^{5488211232000} is an apocalyptic number.

5488211232000 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 5488211232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11752031176704).

5488211232000 is an abundant number, since it is smaller than the sum of its proper divisors (18015851121408).

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

5488211232000 is a wasteful number, since it uses less digits than its factorization.

5488211232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 5488211232000 in words is "five trillion, four hundred eighty-eight billion, two hundred eleven million, two hundred thirty-two thousand".