1011663006200 has 576 divisors, whose sum is σ = 3173984352000. Its totient is φ = 295505817600.

The previous prime is 1011663006187. The next prime is 1011663006307. The reversal of 1011663006200 is 26003661101.

It is a super-2 number, since 2×1011663006200² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011663006200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481972751 + ... + 481974849.

It is an arithmetic number, because the mean of its divisors is an integer number (5510389500).

Almost surely, 2^{1011663006200} is an apocalyptic number.

1011663006200 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 1011663006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586992176000).

1011663006200 is an abundant number, since it is smaller than the sum of its proper divisors (2162321345800).

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

1011663006200 is a wasteful number, since it uses less digits than its factorization.

1011663006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 1011663006200 its reverse (26003661101), we get a palindrome (1037666667301).

The spelling of 1011663006200 in words is "one trillion, eleven billion, six hundred sixty-three million, six thousand, two hundred".