1050853372800 has 2304 divisors, whose sum is σ = 4671665280000. Its totient is φ = 204958924800.

The previous prime is 1050853372727. The next prime is 1050853372801. The reversal of 1050853372800 is 82733580501.

It is a super-2 number, since 2×1050853372800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050853372801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7052707126 + ... + 7052707274.

It is an arithmetic number, because the mean of its divisors is an integer number (2027632500).

Almost surely, 2^{1050853372800} is an apocalyptic number.

1050853372800 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 1050853372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335832640000).

1050853372800 is an abundant number, since it is smaller than the sum of its proper divisors (3620811907200).

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

1050853372800 is a wasteful number, since it uses less digits than its factorization.

1050853372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1050853372800 in words is "one trillion, fifty billion, eight hundred fifty-three million, three hundred seventy-two thousand, eight hundred".