5655075300 has 270 divisors, whose sum is σ = 20686443778. Its totient is φ = 1292094720.

The previous prime is 5655075299. The next prime is 5655075311. The reversal of 5655075300 is 35705565.

5655075300 is a `hidden beast` number, since 5 + 6 + 550 + 75 + 30 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1622317284 + 4032758016 = 40278^2 + 63504^2 .

It is a super-3 number, since 3×5655075300³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2159592 + ... + 2162208.

Almost surely, 2^5655075300 is an apocalyptic number.

5655075300 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 5655075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343221889).

5655075300 is an abundant number, since it is smaller than the sum of its proper divisors (15031368478).

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

5655075300 is a wasteful number, since it uses less digits than its factorization.

5655075300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 5655075300 is about 75200.2347070805. The cubic root of 5655075300 is about 1781.6106387055.

The spelling of 5655075300 in words is "five billion, six hundred fifty-five million, seventy-five thousand, three hundred".