5616105000 has 320 divisors, whose sum is σ = 19386544320. Its totient is φ = 1344000000.

The previous prime is 5616104983. The next prime is 5616105013. The reversal of 5616105000 is 5016165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16664832 + ... + 16665168.

It is an arithmetic number, because the mean of its divisors is an integer number (60582951).

Almost surely, 2^5616105000 is an apocalyptic number.

5616105000 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 5616105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693272160).

5616105000 is an abundant number, since it is smaller than the sum of its proper divisors (13770439320).

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

5616105000 is a wasteful number, since it uses less digits than its factorization.

5616105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5616105000 is about 74940.6765381792. The cubic root of 5616105000 is about 1777.5087186850.

The spelling of 5616105000 in words is "five billion, six hundred sixteen million, one hundred five thousand".