1050982732800 has 4224 divisors, whose sum is σ = 5458317312000. Its totient is φ = 195084288000.

The previous prime is 1050982732757. The next prime is 1050982732841. The reversal of 1050982732800 is 82372890501.

It is a happy number.

1050982732800 is a `hidden beast` number, since 10 + 5 + 0 + 98 + 273 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×1050982732800² (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 a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 33902668785 + ... + 33902668815.

Almost surely, 2^{1050982732800} is an apocalyptic number.

1050982732800 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 1050982732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729158656000).

1050982732800 is an abundant number, since it is smaller than the sum of its proper divisors (4407334579200).

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

1050982732800 is a wasteful number, since it uses less digits than its factorization.

1050982732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1050982732800 in words is "one trillion, fifty billion, nine hundred eighty-two million, seven hundred thirty-two thousand, eight hundred".