1052964343200 has 864 divisors, whose sum is σ = 4467401068032. Its totient is φ = 209265408000.

The previous prime is 1052964343181. The next prime is 1052964343201. The reversal of 1052964343200 is 23434692501.

It is a super-2 number, since 2×1052964343200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052964343201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97753815 + ... + 97764585.

It is an arithmetic number, because the mean of its divisors is an integer number (5170603088).

Almost surely, 2^{1052964343200} is an apocalyptic number.

1052964343200 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 1052964343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233700534016).

1052964343200 is an abundant number, since it is smaller than the sum of its proper divisors (3414436724832).

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

1052964343200 is a wasteful number, since it uses less digits than its factorization.

1052964343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 1052964343200 in words is "one trillion, fifty-two billion, nine hundred sixty-four million, three hundred forty-three thousand, two hundred".