1054523040200 has 192 divisors, whose sum is σ = 2826269107200. Its totient is φ = 358427347200.

The previous prime is 1054523040199. The next prime is 1054523040209. The reversal of 1054523040200 is 20403254501.

It is a happy number.

It is a super-2 number, since 2×1054523040200² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054523040200.

It is not an unprimeable number, because it can be changed into a prime (1054523040209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 230898317 + ... + 230902883.

It is an arithmetic number, because the mean of its divisors is an integer number (14720151600).

Almost surely, 2^{1054523040200} is an apocalyptic number.

1054523040200 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 1054523040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413134553600).

1054523040200 is an abundant number, since it is smaller than the sum of its proper divisors (1771746067000).

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

1054523040200 is a wasteful number, since it uses less digits than its factorization.

1054523040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 1054523040200 its reverse (20403254501), we get a palindrome (1074926294701).

The spelling of 1054523040200 in words is "one trillion, fifty-four billion, five hundred twenty-three million, forty thousand, two hundred".