2120096885760 has 704 divisors, whose sum is σ = 8720102092800. Its totient is φ = 478442225664.

The previous prime is 2120096885717. The next prime is 2120096885801. The reversal of 2120096885760 is 675886900212.

2120096885760 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 9 + 68 + 8 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2120096885697 and 2120096885706.

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, 76432854 + ... + 76460586.

Almost surely, 2^{2120096885760} is an apocalyptic number.

2120096885760 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 2120096885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360051046400).

2120096885760 is an abundant number, since it is smaller than the sum of its proper divisors (6600005207040).

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

2120096885760 is a wasteful number, since it uses less digits than its factorization.

2120096885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27853 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2120096885760 in words is "two trillion, one hundred twenty billion, ninety-six million, eight hundred eighty-five thousand, seven hundred sixty".