5621616000 has 1536 divisors, whose sum is σ = 27954201600. Its totient is φ = 1078272000.

The previous prime is 5621615977. The next prime is 5621616029. The reversal of 5621616000 is 6161265.

It is a happy number.

5621616000 is a `hidden beast` number, since 56 + 2 + 1 + 6 + 1 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 432431994 + ... + 432432006.

It is an arithmetic number, because the mean of its divisors is an integer number (18199350).

Almost surely, 2^5621616000 is an apocalyptic number.

5621616000 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 5621616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977100800).

5621616000 is an abundant number, since it is smaller than the sum of its proper divisors (22332585600).

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

5621616000 is a wasteful number, since it uses less digits than its factorization.

5621616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5621616000 is about 74977.4366059550. The cubic root of 5621616000 is about 1778.0899428680.

Adding to 5621616000 its reverse (6161265), we get a palindrome (5627777265).

The spelling of 5621616000 in words is "five billion, six hundred twenty-one million, six hundred sixteen thousand".