975945284160 has 448 divisors, whose sum is σ = 3945432637440. Its totient is φ = 198478356480.

The previous prime is 975945284147. The next prime is 975945284177. The reversal of 975945284160 is 61482549579.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×975945284160³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 975945284094 and 975945284103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3333786 + ... + 3614694.

It is an arithmetic number, because the mean of its divisors is an integer number (8806769280).

Almost surely, 2^975945284160 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 975945284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972716318720).

975945284160 is an abundant number, since it is smaller than the sum of its proper divisors (2969487353280).

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

975945284160 is a wasteful number, since it uses less digits than its factorization.

975945284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280994 (or 280984 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 975945284160 in words is "nine hundred seventy-five billion, nine hundred forty-five million, two hundred eighty-four thousand, one hundred sixty".