5541312515552 has 192 divisors, whose sum is σ = 12259389139200. Its totient is φ = 2444401152000.

The previous prime is 5541312515503. The next prime is 5541312515569. The reversal of 5541312515552 is 2555152131455.

It is a super-2 number, since 2×5541312515552² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 423026699 + ... + 423039797.

It is an arithmetic number, because the mean of its divisors is an integer number (63850985100).

Almost surely, 2^{5541312515552} 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 5541312515552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129694569600).

5541312515552 is an abundant number, since it is smaller than the sum of its proper divisors (6718076623648).

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

5541312515552 is a wasteful number, since it uses less digits than its factorization.

5541312515552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13457 (or 13449 counting only the distinct ones).

The product of its digits is 750000, while the sum is 44.

The spelling of 5541312515552 in words is "five trillion, five hundred forty-one billion, three hundred twelve million, five hundred fifteen thousand, five hundred fifty-two".