616205127552 has 192 divisors, whose sum is σ = 1932448947840. Its totient is φ = 173430512640.

The previous prime is 616205127511. The next prime is 616205127581. The reversal of 616205127552 is 255721502616.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016277 + ... + 1505067.

It is an arithmetic number, because the mean of its divisors is an integer number (10064838270).

Almost surely, 2^616205127552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616205127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966224473920).

616205127552 is an abundant number, since it is smaller than the sum of its proper divisors (1316243820288).

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

616205127552 is a wasteful number, since it uses less digits than its factorization.

616205127552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488889 (or 488870 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 616205127552 in words is "six hundred sixteen billion, two hundred five million, one hundred twenty-seven thousand, five hundred fifty-two".