5488532213760 has 1248 divisors, whose sum is σ = 20785181743872. Its totient is φ = 1387407605760.

The previous prime is 5488532213753. The next prime is 5488532213767. The reversal of 5488532213760 is 673122358845.

5488532213760 is a `hidden beast` number, since 5 + 4 + 88 + 532 + 21 + 3 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5488532213753) and next prime (5488532213767).

It is a super-2 number, since 2×5488532213760² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5488532213697 and 5488532213706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488532213767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7549562517 + ... + 7549563243.

It is an arithmetic number, because the mean of its divisors is an integer number (16654793064).

Almost surely, 2^{5488532213760} 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 5488532213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392590871936).

5488532213760 is an abundant number, since it is smaller than the sum of its proper divisors (15296649530112).

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

5488532213760 is an equidigital number, since it uses as much as digits as its factorization.

5488532213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5488532213760 in words is "five trillion, four hundred eighty-eight billion, five hundred thirty-two million, two hundred thirteen thousand, seven hundred sixty".