1065661612800 has 648 divisors, whose sum is σ = 3700254835200. Its totient is φ = 270067015680.

The previous prime is 1065661612787. The next prime is 1065661612819. The reversal of 1065661612800 is 82161665601.

It is a super-2 number, since 2×1065661612800² (a number of 25 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2427474981 + ... + 2427475419.

Almost surely, 2^{1065661612800} is an apocalyptic number.

1065661612800 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 1065661612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850127417600).

1065661612800 is an abundant number, since it is smaller than the sum of its proper divisors (2634593222400).

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

1065661612800 is a wasteful number, since it uses less digits than its factorization.

1065661612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1065661612800 in words is "one trillion, sixty-five billion, six hundred sixty-one million, six hundred twelve thousand, eight hundred".