2100161986560 has 1680 divisors, whose sum is σ = 8664202955520. Its totient is φ = 483490529280.

The previous prime is 2100161986553. The next prime is 2100161986711. The reversal of 2100161986560 is 656891610012.

2100161986560 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 1 + 6 + 1 + 9 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15109078971 + ... + 15109079109.

It is an arithmetic number, because the mean of its divisors is an integer number (5157263664).

Almost surely, 2^{2100161986560} is an apocalyptic number.

2100161986560 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 2100161986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332101477760).

2100161986560 is an abundant number, since it is smaller than the sum of its proper divisors (6564040968960).

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

2100161986560 is an equidigital number, since it uses as much as digits as its factorization.

2100161986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 2100161986560 in words is "two trillion, one hundred billion, one hundred sixty-one million, nine hundred eighty-six thousand, five hundred sixty".