2161770265600 has 528 divisors, whose sum is σ = 6515622616320. Its totient is φ = 700887859200.

The previous prime is 2161770265579. The next prime is 2161770265609. The reversal of 2161770265600 is 65620771612.

It is a super-3 number, since 3×2161770265600³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161770265609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90944917 + ... + 90968683.

Almost surely, 2^{2161770265600} is an apocalyptic number.

2161770265600 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 2161770265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257811308160).

2161770265600 is an abundant number, since it is smaller than the sum of its proper divisors (4353852350720).

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

2161770265600 is a wasteful number, since it uses less digits than its factorization.

2161770265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23844 (or 23821 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 2161770265600 in words is "two trillion, one hundred sixty-one billion, seven hundred seventy million, two hundred sixty-five thousand, six hundred".