2171739548160 has 1600 divisors, whose sum is σ = 9714347241984. Its totient is φ = 451480780800.

The previous prime is 2171739548119. The next prime is 2171739548171. The reversal of 2171739548160 is 618459371712.

2171739548160 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 7 + 39 + 548 + 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 = 2171739548097 and 2171739548106.

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 159 ways as a sum of consecutive naturals, for example, 1339752150 + ... + 1339753770.

It is a 1-persistent number, because it is pandigital, but 2⋅2171739548160 = 4343479096320 is not.

Almost surely, 2^{2171739548160} is an apocalyptic number.

2171739548160 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 2171739548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857173620992).

2171739548160 is an abundant number, since it is smaller than the sum of its proper divisors (7542607693824).

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

2171739548160 is a wasteful number, since it uses less digits than its factorization.

2171739548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2171739548160 in words is "two trillion, one hundred seventy-one billion, seven hundred thirty-nine million, five hundred forty-eight thousand, one hundred sixty".