975518427312 has 480 divisors, whose sum is σ = 3271559106816. Its totient is φ = 267465369600.

The previous prime is 975518427307. The next prime is 975518427313. The reversal of 975518427312 is 213724815579.

975518427312 is a `hidden beast` number, since 9 + 7 + 5 + 518 + 42 + 73 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (975518427313) 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 95 ways as a sum of consecutive naturals, for example, 223894638 + ... + 223898994.

Almost surely, 2^975518427312 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 975518427312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635779553408).

975518427312 is an abundant number, since it is smaller than the sum of its proper divisors (2296040679504).

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

975518427312 is a wasteful number, since it uses less digits than its factorization.

975518427312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4600 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 975518427312 in words is "nine hundred seventy-five billion, five hundred eighteen million, four hundred twenty-seven thousand, three hundred twelve".