5538549260160 has 1280 divisors, whose sum is σ = 24562989158400. Its totient is φ = 1160592261120.

The previous prime is 5538549260149. The next prime is 5538549260173. The reversal of 5538549260160 is 610629458355.

5538549260160 is a `hidden beast` number, since 5 + 5 + 3 + 85 + 492 + 60 + 16 + 0 = 666.

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 = 5538549260097 and 5538549260106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 213723364 + ... + 213749276.

It is an arithmetic number, because the mean of its divisors is an integer number (19189835280).

Almost surely, 2^{5538549260160} 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 5538549260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281494579200).

5538549260160 is an abundant number, since it is smaller than the sum of its proper divisors (19024439898240).

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

5538549260160 is a wasteful number, since it uses less digits than its factorization.

5538549260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26001 (or 25980 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5538549260160 in words is "five trillion, five hundred thirty-eight billion, five hundred forty-nine million, two hundred sixty thousand, one hundred sixty".