5626530201600 has 3456 divisors, whose sum is σ = 27314058975840. Its totient is φ = 1079613849600.

The previous prime is 5626530201587. The next prime is 5626530201601. The reversal of 5626530201600 is 61020356265.

It is a happy number.

5626530201600 is a `hidden beast` number, since 5 + 6 + 26 + 5 + 3 + 0 + 20 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5626530201601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 106160947174 + ... + 106160947226.

Almost surely, 2^{5626530201600} is an apocalyptic number.

5626530201600 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 5626530201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657029487920).

5626530201600 is an abundant number, since it is smaller than the sum of its proper divisors (21687528774240).

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

5626530201600 is a wasteful number, since it uses less digits than its factorization.

5626530201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 5626530201600 its reverse (61020356265), we get a palindrome (5687550557865).

The spelling of 5626530201600 in words is "five trillion, six hundred twenty-six billion, five hundred thirty million, two hundred one thousand, six hundred".