2116734197760 has 3136 divisors, whose sum is σ = 10107928293120. Its totient is φ = 412782428160.

The previous prime is 2116734197657. The next prime is 2116734197771. The reversal of 2116734197760 is 677914376112.

2116734197760 is a `hidden beast` number, since 2 + 1 + 167 + 3 + 419 + 7 + 7 + 60 = 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 = 2116734197697 and 2116734197706.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 51627663340 + ... + 51627663380.

It is an arithmetic number, because the mean of its divisors is an integer number (3223191420).

Almost surely, 2^{2116734197760} is an apocalyptic number.

2116734197760 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 2116734197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053964146560).

2116734197760 is an abundant number, since it is smaller than the sum of its proper divisors (7991194095360).

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

2116734197760 is an equidigital number, since it uses as much as digits as its factorization.

2116734197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 2116734197760 in words is "two trillion, one hundred sixteen billion, seven hundred thirty-four million, one hundred ninety-seven thousand, seven hundred sixty".