2117750729556 has 288 divisors, whose sum is σ = 6345470057472. Its totient is φ = 543528437760.

The previous prime is 2117750729543. The next prime is 2117750729569. The reversal of 2117750729556 is 6559270577112.

It is an interprime number because it is at equal distance from previous prime (2117750729543) and next prime (2117750729569).

It is a junction number, because it is equal to n+sod(n) for n = 2117750729496 and 2117750729505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456114571 + ... + 456119213.

It is an arithmetic number, because the mean of its divisors is an integer number (22032882144).

Almost surely, 2^{2117750729556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117750729556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172735028736).

2117750729556 is an abundant number, since it is smaller than the sum of its proper divisors (4227719327916).

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

2117750729556 is a wasteful number, since it uses less digits than its factorization.

2117750729556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 57.

The spelling of 2117750729556 in words is "two trillion, one hundred seventeen billion, seven hundred fifty million, seven hundred twenty-nine thousand, five hundred fifty-six".