1006895053600 has 216 divisors, whose sum is σ = 2689376126724. Its totient is φ = 366833664000.

The previous prime is 1006895053597. The next prime is 1006895053603. The reversal of 1006895053600 is 63505986001.

It is an interprime number because it is at equal distance from previous prime (1006895053597) and next prime (1006895053603).

It can be written as a sum of positive squares in 6 ways, for example, as 681397419024 + 325497634576 = 825468^2 + 570524^2 .

It is not an unprimeable number, because it can be changed into a prime (1006895053603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13031080 + ... + 13108120.

Almost surely, 2^{1006895053600} is an apocalyptic number.

1006895053600 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 1006895053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344688063362).

1006895053600 is an abundant number, since it is smaller than the sum of its proper divisors (1682481073124).

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

1006895053600 is a wasteful number, since it uses less digits than its factorization.

1006895053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77140 (or 77096 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 1006895053600 in words is "one trillion, six billion, eight hundred ninety-five million, fifty-three thousand, six hundred".