5609674078200 has 384 divisors, whose sum is σ = 19562419800000. Its totient is φ = 1477405163520.

The previous prime is 5609674078181. The next prime is 5609674078237. The reversal of 5609674078200 is 28704769065.

5609674078200 is a `hidden beast` number, since 5 + 609 + 6 + 7 + 4 + 0 + 7 + 8 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184216576 + ... + 184247024.

Almost surely, 2^{5609674078200} is an apocalyptic number.

5609674078200 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 5609674078200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9781209900000).

5609674078200 is an abundant number, since it is smaller than the sum of its proper divisors (13952745721800).

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

5609674078200 is a wasteful number, since it uses less digits than its factorization.

5609674078200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30896 (or 30881 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5609674078200 in words is "five trillion, six hundred nine billion, six hundred seventy-four million, seventy-eight thousand, two hundred".