2016971561880 has 320 divisors, whose sum is σ = 7452034318080. Its totient is φ = 485229139200.

The previous prime is 2016971561863. The next prime is 2016971561923. The reversal of 2016971561880 is 881651796102.

It is a happy number.

2016971561880 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 9 + 7 + 15 + 618 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4452837 + ... + 4884843.

It is an arithmetic number, because the mean of its divisors is an integer number (23287607244).

Almost surely, 2^{2016971561880} is an apocalyptic number.

2016971561880 is a gapful number since it is divisible by the number (20) 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 2016971561880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726017159040).

2016971561880 is an abundant number, since it is smaller than the sum of its proper divisors (5435062756200).

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

2016971561880 is a wasteful number, since it uses less digits than its factorization.

2016971561880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432172 (or 432159 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 2016971561880 in words is "two trillion, sixteen billion, nine hundred seventy-one million, five hundred sixty-one thousand, eight hundred eighty".