1006216888320 has 1680 divisors, whose sum is σ = 4332101477760. Its totient is φ = 219386216448.

The previous prime is 1006216888301. The next prime is 1006216888321. The reversal of 1006216888320 is 238886126001.

1006216888320 is a `hidden beast` number, since 10 + 0 + 621 + 6 + 8 + 8 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006216888321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12123094999 + ... + 12123095081.

It is an arithmetic number, because the mean of its divisors is an integer number (2578631832).

Almost surely, 2^{1006216888320} is an apocalyptic number.

1006216888320 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 1006216888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166050738880).

1006216888320 is an abundant number, since it is smaller than the sum of its proper divisors (3325884589440).

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

1006216888320 is an frugal number, since it uses more digits than its factorization.

1006216888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1006216888320 in words is "one trillion, six billion, two hundred sixteen million, eight hundred eighty-eight thousand, three hundred twenty".