1071868723200 has 1620 divisors, whose sum is σ = 4425821651160. Its totient is φ = 256927334400.

The previous prime is 1071868723153. The next prime is 1071868723207. The reversal of 1071868723200 is 23278681701.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×1071868723200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1071868723207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12043468756 + ... + 12043468844.

Almost surely, 2^{1071868723200} is an apocalyptic number.

1071868723200 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 1071868723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212910825580).

1071868723200 is an abundant number, since it is smaller than the sum of its proper divisors (3353952927960).

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

1071868723200 is an frugal number, since it uses more digits than its factorization.

1071868723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1071868723200 in words is "one trillion, seventy-one billion, eight hundred sixty-eight million, seven hundred twenty-three thousand, two hundred".