616885100160 has 768 divisors, whose sum is σ = 2416540262400. Its totient is φ = 133253406720.

The previous prime is 616885100123. The next prime is 616885100177. The reversal of 616885100160 is 61001588616.

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

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 95 ways as a sum of consecutive naturals, for example, 125406181 + ... + 125411099.

It is an arithmetic number, because the mean of its divisors is an integer number (3146536800).

Almost surely, 2^616885100160 is an apocalyptic number.

616885100160 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 616885100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208270131200).

616885100160 is an abundant number, since it is smaller than the sum of its proper divisors (1799655162240).

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

616885100160 is a wasteful number, since it uses less digits than its factorization.

616885100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

Adding to 616885100160 its reverse (61001588616), we get a palindrome (677886688776).

The spelling of 616885100160 in words is "six hundred sixteen billion, eight hundred eighty-five million, one hundred thousand, one hundred sixty".