1590166201216 has 64 divisors (see below), whose sum is σ = 3249345456000. Its totient is φ = 774845593600.

The previous prime is 1590166201193. The next prime is 1590166201237. The reversal of 1590166201216 is 6121026610951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224241 + ... + 1797391.

It is an arithmetic number, because the mean of its divisors is an integer number (50771022750).

Almost surely, 2^{1590166201216} is an apocalyptic number.

1590166201216 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 1590166201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624672728000).

1590166201216 is an abundant number, since it is smaller than the sum of its proper divisors (1659179254784).

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

1590166201216 is a wasteful number, since it uses less digits than its factorization.

1590166201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573367 (or 1573355 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 1590166201216 in words is "one trillion, five hundred ninety billion, one hundred sixty-six million, two hundred one thousand, two hundred sixteen".