1071996364800 has 864 divisors, whose sum is σ = 4105486607040. Its totient is φ = 266659430400.

The previous prime is 1071996364793. The next prime is 1071996364819. The reversal of 1071996364800 is 84636991701.

1071996364800 is a `hidden beast` number, since 1 + 0 + 71 + 9 + 96 + 3 + 6 + 480 + 0 = 666.

1071996364800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071996364800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 434533167 + ... + 434535633.

It is an arithmetic number, because the mean of its divisors is an integer number (4751720610).

Almost surely, 2^{1071996364800} is an apocalyptic number.

1071996364800 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 1071996364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052743303520).

1071996364800 is an abundant number, since it is smaller than the sum of its proper divisors (3033490242240).

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

1071996364800 is a wasteful number, since it uses less digits than its factorization.

1071996364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1071996364800 in words is "one trillion, seventy-one billion, nine hundred ninety-six million, three hundred sixty-four thousand, eight hundred".