975013428300 has 144 divisors (see below), whose sum is σ = 2947212928800. Its totient is φ = 248552192000.

The previous prime is 975013428299. The next prime is 975013428341. The reversal of 975013428300 is 3824310579.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323896 + ... + 1433504.

It is an arithmetic number, because the mean of its divisors is an integer number (20466756450).

Almost surely, 2^975013428300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975013428300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473606464400).

975013428300 is an abundant number, since it is smaller than the sum of its proper divisors (1972199500500).

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

975013428300 is a wasteful number, since it uses less digits than its factorization.

975013428300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109756 (or 1109749 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

Adding to 975013428300 its reverse (3824310579), we get a palindrome (978837738879).

The spelling of 975013428300 in words is "nine hundred seventy-five billion, thirteen million, four hundred twenty-eight thousand, three hundred".