1611162216960 has 320 divisors, whose sum is σ = 5264642148480. Its totient is φ = 420217159680.

The previous prime is 1611162216953. The next prime is 1611162217009. The reversal of 1611162216960 is 696122611161.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1611162216960² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83848314 + ... + 83867526.

It is an arithmetic number, because the mean of its divisors is an integer number (16452006714).

Almost surely, 2^{1611162216960} is an apocalyptic number.

1611162216960 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 1611162216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632321074240).

1611162216960 is an abundant number, since it is smaller than the sum of its proper divisors (3653479931520).

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

1611162216960 is a wasteful number, since it uses less digits than its factorization.

1611162216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19479 (or 19463 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 1611162216960 in words is "one trillion, six hundred eleven billion, one hundred sixty-two million, two hundred sixteen thousand, nine hundred sixty".