2171567838720 has 640 divisors, whose sum is σ = 8107851350016. Its totient is φ = 485592662016.

The previous prime is 2171567838709. The next prime is 2171567838749. The reversal of 2171567838720 is 278387651712.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498406782 + ... + 498411138.

Almost surely, 2^{2171567838720} is an apocalyptic number.

2171567838720 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 2171567838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053925675008).

2171567838720 is an abundant number, since it is smaller than the sum of its proper divisors (5936283511296).

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

2171567838720 is a wasteful number, since it uses less digits than its factorization.

2171567838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 2171567838720 in words is "two trillion, one hundred seventy-one billion, five hundred sixty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".