5552985600 has 720 divisors, whose sum is σ = 21767803200. Its totient is φ = 1347010560.

The previous prime is 5552985539. The next prime is 5552985601. The reversal of 5552985600 is 65892555.

5552985600 is a `hidden beast` number, since 5 + 552 + 98 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5552985601) 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, 94118371 + ... + 94118429.

It is an arithmetic number, because the mean of its divisors is an integer number (30233060).

Almost surely, 2^5552985600 is an apocalyptic number.

5552985600 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 5552985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883901600).

5552985600 is an abundant number, since it is smaller than the sum of its proper divisors (16214817600).

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

5552985600 is a wasteful number, since it uses less digits than its factorization.

5552985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 5552985600 is about 74518.3574698208. The cubic root of 5552985600 is about 1770.8244746531.

The spelling of 5552985600 in words is "five billion, five hundred fifty-two million, nine hundred eighty-five thousand, six hundred".