5221616400 has 1800 divisors, whose sum is σ = 26724164544. Its totient is φ = 958003200.

The previous prime is 5221616381. The next prime is 5221616429. The reversal of 5221616400 is 46161225.

5221616400 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 616 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 227026789 + ... + 227026811.

Almost surely, 2^5221616400 is an apocalyptic number.

5221616400 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 5221616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362082272).

5221616400 is an abundant number, since it is smaller than the sum of its proper divisors (21502548144).

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

5221616400 is a wasteful number, since it uses less digits than its factorization.

5221616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5221616400 is about 72260.7528330559. The cubic root of 5221616400 is about 1734.8755291671.

Adding to 5221616400 its reverse (46161225), we get a palindrome (5267777625).

The spelling of 5221616400 in words is "five billion, two hundred twenty-one million, six hundred sixteen thousand, four hundred".