1052020717200 has 720 divisors, whose sum is σ = 3968590743936. Its totient is φ = 257093222400.

The previous prime is 1052020717193. The next prime is 1052020717211. The reversal of 1052020717200 is 27170202501.

1052020717200 is a `hidden beast` number, since 1 + 0 + 520 + 2 + 0 + 71 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1052020717200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360650142 + ... + 360653058.

Almost surely, 2^{1052020717200} is an apocalyptic number.

1052020717200 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 1052020717200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984295371968).

1052020717200 is an abundant number, since it is smaller than the sum of its proper divisors (2916570026736).

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

1052020717200 is a wasteful number, since it uses less digits than its factorization.

1052020717200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 1052020717200 its reverse (27170202501), we get a palindrome (1079190919701).

The spelling of 1052020717200 in words is "one trillion, fifty-two billion, twenty million, seven hundred seventeen thousand, two hundred".