975106890484160 has 1344 divisors, whose sum is σ = 2937925117117440. Its totient is φ = 301084729344000.

The previous prime is 975106890484039. The next prime is 975106890484171. The reversal of 975106890484160 is 61484098601579.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565935513059 + ... + 565935514781.

Almost surely, 2^{975106890484160} 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 975106890484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468962558558720).

975106890484160 is an abundant number, since it is smaller than the sum of its proper divisors (1962818226633280).

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

975106890484160 is a wasteful number, since it uses less digits than its factorization.

975106890484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 68.

The spelling of 975106890484160 in words is "nine hundred seventy-five trillion, one hundred six billion, eight hundred ninety million, four hundred eighty-four thousand, one hundred sixty".