5541294976000 has 1408 divisors, whose sum is σ = 18077154600960. Its totient is φ = 1649147904000.

The previous prime is 5541294975977. The next prime is 5541294976037. The reversal of 5541294976000 is 6794921455.

It is a super-2 number, since 2×5541294976000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11865727767 + ... + 11865728233.

Almost surely, 2^{5541294976000} is an apocalyptic number.

5541294976000 is a gapful number since it is divisible by the number (50) 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 5541294976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9038577300480).

5541294976000 is an abundant number, since it is smaller than the sum of its proper divisors (12535859624960).

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

5541294976000 is a wasteful number, since it uses less digits than its factorization.

5541294976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 5541294976000 in words is "five trillion, five hundred forty-one billion, two hundred ninety-four million, nine hundred seventy-six thousand".