1071995509200 has 960 divisors, whose sum is σ = 4588521172992. Its totient is φ = 207293644800.

The previous prime is 1071995509099. The next prime is 1071995509201. The reversal of 1071995509200 is 29055991701.

It is a super-2 number, since 2×1071995509200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1071995509200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071995509201) 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 191 ways as a sum of consecutive naturals, for example, 78625584 + ... + 78639216.

Almost surely, 2^{1071995509200} is an apocalyptic number.

1071995509200 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 1071995509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294260586496).

1071995509200 is an abundant number, since it is smaller than the sum of its proper divisors (3516525663792).

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

1071995509200 is a wasteful number, since it uses less digits than its factorization.

1071995509200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 48.

The spelling of 1071995509200 in words is "one trillion, seventy-one billion, nine hundred ninety-five million, five hundred nine thousand, two hundred".