2171763001872 has 560 divisors, whose sum is σ = 7061987021760. Its totient is φ = 642679308288.

The previous prime is 2171763001867. The next prime is 2171763001883. The reversal of 2171763001872 is 2781003671712.

2171763001872 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 7 + 630 + 0 + 1 + 8 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 968239183 + ... + 968241425.

Almost surely, 2^{2171763001872} 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 2171763001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530993510880).

2171763001872 is an abundant number, since it is smaller than the sum of its proper divisors (4890224019888).

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

2171763001872 is a wasteful number, since it uses less digits than its factorization.

2171763001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 2171763001872 in words is "two trillion, one hundred seventy-one billion, seven hundred sixty-three million, one thousand, eight hundred seventy-two".