5206228473600 has 3240 divisors, whose sum is σ = 24668990083584. Its totient is φ = 1060190208000.

The previous prime is 5206228473599. The next prime is 5206228473619. The reversal of 5206228473600 is 63748226025.

5206228473600 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 2 + 284 + 7 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 31175020717 + ... + 31175020883.

Almost surely, 2^{5206228473600} is an apocalyptic number.

5206228473600 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 5206228473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334495041792).

5206228473600 is an abundant number, since it is smaller than the sum of its proper divisors (19462761609984).

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

5206228473600 is a wasteful number, since it uses less digits than its factorization.

5206228473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5206228473600 in words is "five trillion, two hundred six billion, two hundred twenty-eight million, four hundred seventy-three thousand, six hundred".