1006213643600 has 120 divisors (see below), whose sum is σ = 2638481007360. Its totient is φ = 365717376000.

The previous prime is 1006213643573. The next prime is 1006213643609. The reversal of 1006213643600 is 63463126001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006213643609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9136865 + ... + 9246335.

It is an arithmetic number, because the mean of its divisors is an integer number (21987341728).

Almost surely, 2^{1006213643600} is an apocalyptic number.

1006213643600 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 1006213643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319240503680).

1006213643600 is an abundant number, since it is smaller than the sum of its proper divisors (1632267363760).

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

1006213643600 is a wasteful number, since it uses less digits than its factorization.

1006213643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111589 (or 111578 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 1006213643600 its reverse (63463126001), we get a palindrome (1069676769601).

The spelling of 1006213643600 in words is "one trillion, six billion, two hundred thirteen million, six hundred forty-three thousand, six hundred".