616012011200 has 672 divisors, whose sum is σ = 1714390272000. Its totient is φ = 216870912000.

The previous prime is 616012011187. The next prime is 616012011211. The reversal of 616012011200 is 2110210616.

616012011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4134308726 + ... + 4134308874.

It is an arithmetic number, because the mean of its divisors is an integer number (2551176000).

Almost surely, 2^616012011200 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 616012011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857195136000).

616012011200 is an abundant number, since it is smaller than the sum of its proper divisors (1098378260800).

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

616012011200 is a wasteful number, since it uses less digits than its factorization.

616012011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 616012011200 its reverse (2110210616), we get a palindrome (618122221816).

The spelling of 616012011200 in words is "six hundred sixteen billion, twelve million, eleven thousand, two hundred".