1641590865600 has 1344 divisors, whose sum is σ = 6533731814400. Its totient is φ = 360424243200.

The previous prime is 1641590865583. The next prime is 1641590865623. The reversal of 1641590865600 is 65680951461.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5602699054 + ... + 5602699346.

It is an arithmetic number, because the mean of its divisors is an integer number (4861407600).

Almost surely, 2^{1641590865600} is an apocalyptic number.

1641590865600 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 1641590865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266865907200).

1641590865600 is an abundant number, since it is smaller than the sum of its proper divisors (4892140948800).

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

1641590865600 is a wasteful number, since it uses less digits than its factorization.

1641590865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 1641590865600 in words is "one trillion, six hundred forty-one billion, five hundred ninety million, eight hundred sixty-five thousand, six hundred".