975036351120 has 640 divisors, whose sum is σ = 3427887267840. Its totient is φ = 227621560320.

The previous prime is 975036351077. The next prime is 975036351131. The reversal of 975036351120 is 21153630579.

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 127 ways as a sum of consecutive naturals, for example, 2456010762 + ... + 2456011158.

It is an arithmetic number, because the mean of its divisors is an integer number (5356073856).

Almost surely, 2^975036351120 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 975036351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713943633920).

975036351120 is an abundant number, since it is smaller than the sum of its proper divisors (2452850916720).

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

975036351120 is a wasteful number, since it uses less digits than its factorization.

975036351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

Adding to 975036351120 its reverse (21153630579), we get a palindrome (996189981699).

The spelling of 975036351120 in words is "nine hundred seventy-five billion, thirty-six million, three hundred fifty-one thousand, one hundred twenty".