5553561600000 has 1224 divisors, whose sum is σ = 21084697617984. Its totient is φ = 1405747200000.

The previous prime is 5553561599981. The next prime is 5553561600001. The reversal of 5553561600000 is 61653555.

5553561600000 is a `hidden beast` number, since 5 + 5 + 5 + 35 + 616 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5553561600001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42393599935 + ... + 42393600065.

Almost surely, 2^{5553561600000} is an apocalyptic number.

5553561600000 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 5553561600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542348808992).

5553561600000 is an abundant number, since it is smaller than the sum of its proper divisors (15531136017984).

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

5553561600000 is an frugal number, since it uses more digits than its factorization.

5553561600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 5553561600000 in words is "five trillion, five hundred fifty-three billion, five hundred sixty-one million, six hundred thousand".