1616205561600 has 432 divisors, whose sum is σ = 6107709692672. Its totient is φ = 368696033280.

The previous prime is 1616205561559. The next prime is 1616205561617. The reversal of 1616205561600 is 61655026161.

It is a super-2 number, since 2×1616205561600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70279704 + ... + 70302696.

Almost surely, 2^{1616205561600} is an apocalyptic number.

1616205561600 is a gapful number since it is divisible by the number (10) 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 1616205561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053854846336).

1616205561600 is an abundant number, since it is smaller than the sum of its proper divisors (4491504131072).

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

1616205561600 is a wasteful number, since it uses less digits than its factorization.

1616205561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23552 (or 23533 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 1616205561600 in words is "one trillion, six hundred sixteen billion, two hundred five million, five hundred sixty-one thousand, six hundred".