5488271071920 has 1920 divisors, whose sum is σ = 24598105620480. Its totient is φ = 1113652592640.

The previous prime is 5488271071897. The next prime is 5488271071931. The reversal of 5488271071920 is 291701728845.

5488271071920 is a `hidden beast` number, since 5 + 488 + 2 + 7 + 1 + 0 + 71 + 92 + 0 = 666.

It is a super-2 number, since 2×5488271071920² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9511734672 + ... + 9511735248.

It is an arithmetic number, because the mean of its divisors is an integer number (12811513344).

Almost surely, 2^{5488271071920} 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 5488271071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299052810240).

5488271071920 is an abundant number, since it is smaller than the sum of its proper divisors (19109834548560).

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

5488271071920 is a wasteful number, since it uses less digits than its factorization.

5488271071920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 5488271071920 in words is "five trillion, four hundred eighty-eight billion, two hundred seventy-one million, seventy-one thousand, nine hundred twenty".