2165761097760 has 384 divisors, whose sum is σ = 7448988718080. Its totient is φ = 525721337856.

The previous prime is 2165761097741. The next prime is 2165761097821. The reversal of 2165761097760 is 677901675612.

It is a happy number.

It is a super-2 number, since 2×2165761097760² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2165761097760.

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, 499366312 + ... + 499370648.

It is an arithmetic number, because the mean of its divisors is an integer number (19398408120).

Almost surely, 2^{2165761097760} is an apocalyptic number.

2165761097760 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 2165761097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724494359040).

2165761097760 is an abundant number, since it is smaller than the sum of its proper divisors (5283227620320).

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

2165761097760 is a wasteful number, since it uses less digits than its factorization.

2165761097760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 2165761097760 in words is "two trillion, one hundred sixty-five billion, seven hundred sixty-one million, ninety-seven thousand, seven hundred sixty".