1055752963200 has 1344 divisors, whose sum is σ = 4350772366080. Its totient is φ = 251270553600.

The previous prime is 1055752963163. The next prime is 1055752963249. The reversal of 1055752963200 is 23692575501.

1055752963200 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 7 + 5 + 2 + 9 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×1055752963200² (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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 940117839 + ... + 940118961.

It is an arithmetic number, because the mean of its divisors is an integer number (3237181820).

Almost surely, 2^{1055752963200} is an apocalyptic number.

1055752963200 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 1055752963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175386183040).

1055752963200 is an abundant number, since it is smaller than the sum of its proper divisors (3295019402880).

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

1055752963200 is a wasteful number, since it uses less digits than its factorization.

1055752963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 1055752963200 in words is "one trillion, fifty-five billion, seven hundred fifty-two million, nine hundred sixty-three thousand, two hundred".