1602180120576 has 1024 divisors, whose sum is σ = 5475999744000. Its totient is φ = 406412328960.

The previous prime is 1602180120523. The next prime is 1602180120587. The reversal of 1602180120576 is 6750210812061.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×1602180120576² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23913136095 + ... + 23913136161.

It is an arithmetic number, because the mean of its divisors is an integer number (5347656000).

Almost surely, 2^{1602180120576} is an apocalyptic number.

1602180120576 is a gapful number since it is divisible by the number (16) 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 1602180120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737999872000).

1602180120576 is an abundant number, since it is smaller than the sum of its proper divisors (3873819623424).

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

1602180120576 is an equidigital number, since it uses as much as digits as its factorization.

1602180120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1602180120576 in words is "one trillion, six hundred two billion, one hundred eighty million, one hundred twenty thousand, five hundred seventy-six".