2117855031600 has 480 divisors, whose sum is σ = 8464194256896. Its totient is φ = 439762867200.

The previous prime is 2117855031559. The next prime is 2117855031629. The reversal of 2117855031600 is 61305587112.

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, 144783487 + ... + 144798113.

Almost surely, 2^{2117855031600} is an apocalyptic number.

2117855031600 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 2117855031600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232097128448).

2117855031600 is an abundant number, since it is smaller than the sum of its proper divisors (6346339225296).

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

2117855031600 is a wasteful number, since it uses less digits than its factorization.

2117855031600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16233 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 2117855031600 in words is "two trillion, one hundred seventeen billion, eight hundred fifty-five million, thirty-one thousand, six hundred".