5538164244480 has 1512 divisors, whose sum is σ = 23775048565632. Its totient is φ = 1210828455936.

The previous prime is 5538164244449. The next prime is 5538164244511. The reversal of 5538164244480 is 844424618355.

5538164244480 is a `hidden beast` number, since 5 + 5 + 3 + 81 + 6 + 42 + 44 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5538164244449) and next prime (5538164244511).

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240789749749 + ... + 240789749771.

Almost surely, 2^{5538164244480} 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 5538164244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887524282816).

5538164244480 is an abundant number, since it is smaller than the sum of its proper divisors (18236884321152).

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

5538164244480 is an frugal number, since it uses more digits than its factorization.

5538164244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 5538164244480 in words is "five trillion, five hundred thirty-eight billion, one hundred sixty-four million, two hundred forty-four thousand, four hundred eighty".