2116890190800 has 4800 divisors, whose sum is σ = 10995084840960. Its totient is φ = 376233984000.

The previous prime is 2116890190777. The next prime is 2116890190859. The reversal of 2116890190800 is 80910986112.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 29815354765 + ... + 29815354835.

Almost surely, 2^{2116890190800} is an apocalyptic number.

2116890190800 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 2116890190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497542420480).

2116890190800 is an abundant number, since it is smaller than the sum of its proper divisors (8878194650160).

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

2116890190800 is a wasteful number, since it uses less digits than its factorization.

2116890190800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 2116890190800 in words is "two trillion, one hundred sixteen billion, eight hundred ninety million, one hundred ninety thousand, eight hundred".