1616160000000 has 1536 divisors, whose sum is σ = 6807920071680. Its totient is φ = 331776000000.

The previous prime is 1616159999999. The next prime is 1616160000031. The reversal of 1616160000000 is 616161.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1616160000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43679999982 + ... + 43680000018.

It is an arithmetic number, because the mean of its divisors is an integer number (4432239630).

Almost surely, 2^{1616160000000} is an apocalyptic number.

1616160000000 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 1616160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403960035840).

1616160000000 is an abundant number, since it is smaller than the sum of its proper divisors (5191760071680).

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

1616160000000 is an frugal number, since it uses more digits than its factorization.

1616160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1616160000000 its reverse (616161), we get a palindrome (1616160616161).

The spelling of 1616160000000 in words is "one trillion, six hundred sixteen billion, one hundred sixty million", and thus it is an aban number.