616128055200 has 1008 divisors, whose sum is σ = 2647623041280. Its totient is φ = 136989480960.

The previous prime is 616128055139. The next prime is 616128055217. The reversal of 616128055200 is 2550821616.

616128055200 is a `hidden beast` number, since 6 + 1 + 6 + 128 + 0 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×616128055200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 151046761 + ... + 151050839.

It is an arithmetic number, because the mean of its divisors is an integer number (2626610160).

Almost surely, 2^616128055200 is an apocalyptic number.

616128055200 is a gapful number since it is divisible by the number (60) 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 616128055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323811520640).

616128055200 is an abundant number, since it is smaller than the sum of its proper divisors (2031494986080).

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

616128055200 is a wasteful number, since it uses less digits than its factorization.

616128055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 616128055200 its reverse (2550821616), we get a palindrome (618678876816).

The spelling of 616128055200 in words is "six hundred sixteen billion, one hundred twenty-eight million, fifty-five thousand, two hundred".