1006553217600 has 2016 divisors, whose sum is σ = 4587422636160. Its totient is φ = 213292154880.

The previous prime is 1006553217563. The next prime is 1006553217613. The reversal of 1006553217600 is 67123556001.

1006553217600 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 5 + 32 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2986804632 + ... + 2986804968.

It is an arithmetic number, because the mean of its divisors is an integer number (2275507260).

Almost surely, 2^{1006553217600} is an apocalyptic number.

1006553217600 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 1006553217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293711318080).

1006553217600 is an abundant number, since it is smaller than the sum of its proper divisors (3580869418560).

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

1006553217600 is a wasteful number, since it uses less digits than its factorization.

1006553217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1006553217600 in words is "one trillion, six billion, five hundred fifty-three million, two hundred seventeen thousand, six hundred".