3553554045600 has 864 divisors, whose sum is σ = 14477287144320. Its totient is φ = 844540784640.

The previous prime is 3553554045539. The next prime is 3553554045619. The reversal of 3553554045600 is 65404553553.

3553554045600 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 5 + 540 + 45 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73264557 + ... + 73313043.

It is an arithmetic number, because the mean of its divisors is an integer number (16756119380).

Almost surely, 2^{3553554045600} is an apocalyptic number.

3553554045600 is a gapful number since it is divisible by the number (30) 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 3553554045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238643572160).

3553554045600 is an abundant number, since it is smaller than the sum of its proper divisors (10923733098720).

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

3553554045600 is a wasteful number, since it uses less digits than its factorization.

3553554045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48564 (or 48539 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 3553554045600 in words is "three trillion, five hundred fifty-three billion, five hundred fifty-four million, forty-five thousand, six hundred".