2123768966760 has 1280 divisors, whose sum is σ = 9230315212800. Its totient is φ = 426273103872.

The previous prime is 2123768966723. The next prime is 2123768966791. The reversal of 2123768966760 is 676698673212.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 490815717 + ... + 490820043.

It is an arithmetic number, because the mean of its divisors is an integer number (7211183760).

Almost surely, 2^{2123768966760} is an apocalyptic number.

2123768966760 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 2123768966760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615157606400).

2123768966760 is an abundant number, since it is smaller than the sum of its proper divisors (7106546246040).

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

2123768966760 is a wasteful number, since it uses less digits than its factorization.

2123768966760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2123768966760 in words is "two trillion, one hundred twenty-three billion, seven hundred sixty-eight million, nine hundred sixty-six thousand, seven hundred sixty".