2118421190160 has 640 divisors, whose sum is σ = 8205931929600. Its totient is φ = 497904353280.

The previous prime is 2118421190117. The next prime is 2118421190167. The reversal of 2118421190160 is 610911248112.

2118421190160 is a `hidden beast` number, since 21 + 18 + 421 + 190 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2118421190167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119480176 + ... + 119497904.

It is an arithmetic number, because the mean of its divisors is an integer number (12821768640).

Almost surely, 2^{2118421190160} is an apocalyptic number.

2118421190160 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 2118421190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102965964800).

2118421190160 is an abundant number, since it is smaller than the sum of its proper divisors (6087510739440).

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

2118421190160 is a wasteful number, since it uses less digits than its factorization.

2118421190160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17916 (or 17904 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 2118421190160 in words is "two trillion, one hundred eighteen billion, four hundred twenty-one million, one hundred ninety thousand, one hundred sixty".