975283200000 has 1344 divisors, whose sum is σ = 3870236039040. Its totient is φ = 241827840000.

The previous prime is 975283199999. The next prime is 975283200019. The reversal of 975283200000 is 2382579.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11750399959 + ... + 11750400041.

It is an arithmetic number, because the mean of its divisors is an integer number (2879639910).

Almost surely, 2^975283200000 is an apocalyptic number.

975283200000 is a gapful number since it is divisible by the number (90) 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 975283200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935118019520).

975283200000 is an abundant number, since it is smaller than the sum of its proper divisors (2894952839040).

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

975283200000 is an frugal number, since it uses more digits than its factorization.

975283200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 975283200000 its reverse (2382579), we get a palindrome (975285582579).

The spelling of 975283200000 in words is "nine hundred seventy-five billion, two hundred eighty-three million, two hundred thousand".