2100960796000 has 576 divisors, whose sum is σ = 6149614685760. Its totient is φ = 698664960000.

The previous prime is 2100960795929. The next prime is 2100960796001. The reversal of 2100960796000 is 6970690012.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100960796001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 460633720 + ... + 460638280.

It is an arithmetic number, because the mean of its divisors is an integer number (10676414385).

Almost surely, 2^{2100960796000} is an apocalyptic number.

2100960796000 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 2100960796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074807342880).

2100960796000 is an abundant number, since it is smaller than the sum of its proper divisors (4048653889760).

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

2100960796000 is a wasteful number, since it uses less digits than its factorization.

2100960796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 2100960796000 in words is "two trillion, one hundred billion, nine hundred sixty million, seven hundred ninety-six thousand".