5546009520000 has 640 divisors, whose sum is σ = 20545913203200. Its totient is φ = 1472290560000.

The previous prime is 5546009519977. The next prime is 5546009520001. The reversal of 5546009520000 is 259006455.

5546009520000 is a `hidden beast` number, since 5 + 546 + 0 + 0 + 95 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5546009520001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 490314345 + ... + 490325655.

It is an arithmetic number, because the mean of its divisors is an integer number (32102989380).

Almost surely, 2^{5546009520000} is an apocalyptic number.

5546009520000 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 5546009520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272956601600).

5546009520000 is an abundant number, since it is smaller than the sum of its proper divisors (14999903683200).

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

5546009520000 is a wasteful number, since it uses less digits than its factorization.

5546009520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 5546009520000 in words is "five trillion, five hundred forty-six billion, nine million, five hundred twenty thousand".