971606485100160 has 3072 divisors, whose sum is σ = 4317363243648000. Its totient is φ = 203326304550912.

The previous prime is 971606485100159. The next prime is 971606485100191. The reversal of 971606485100160 is 61001584606179.

971606485100160 is a `hidden beast` number, since 9 + 7 + 1 + 6 + 0 + 64 + 8 + 510 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 971606485100097 and 971606485100106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1325520443154 + ... + 1325520443886.

It is an arithmetic number, because the mean of its divisors is an integer number (1405391680875).

Almost surely, 2^{971606485100160} is an apocalyptic number.

971606485100160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971606485100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158681621824000).

971606485100160 is an abundant number, since it is smaller than the sum of its proper divisors (3345756758547840).

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

971606485100160 is a wasteful number, since it uses less digits than its factorization.

971606485100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 971606485100160 in words is "nine hundred seventy-one trillion, six hundred six billion, four hundred eighty-five million, one hundred thousand, one hundred sixty".