5541405356664 has 128 divisors (see below), whose sum is σ = 15482840256000. Its totient is φ = 1836354039552.

The previous prime is 5541405356659. The next prime is 5541405356687. The reversal of 5541405356664 is 4666535041455.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5541405356664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32477127 + ... + 32647305.

It is an arithmetic number, because the mean of its divisors is an integer number (120959689500).

Almost surely, 2^{5541405356664} is an apocalyptic number.

5541405356664 is a gapful number since it is divisible by the number (54) 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 5541405356664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741420128000).

5541405356664 is an abundant number, since it is smaller than the sum of its proper divisors (9941434899336).

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

5541405356664 is a wasteful number, since it uses less digits than its factorization.

5541405356664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171074 (or 171064 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 5541405356664 in words is "five trillion, five hundred forty-one billion, four hundred five million, three hundred fifty-six thousand, six hundred sixty-four".