190012116418560 has 2160 divisors, whose sum is σ = 729953351932896. Its totient is φ = 47405768638464.

The previous prime is 190012116418507. The next prime is 190012116418603. The reversal of 190012116418560 is 65814611210091.

190012116418560 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 1 + 2 + 11 + 64 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×190012116418560² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 984518737824 + ... + 984518738016.

Almost surely, 2^{190012116418560} is an apocalyptic number.

190012116418560 is a gapful number since it is divisible by the number (10) 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 190012116418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364976675966448).

190012116418560 is an abundant number, since it is smaller than the sum of its proper divisors (539941235514336).

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

190012116418560 is an equidigital number, since it uses as much as digits as its factorization.

190012116418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 190012116418560 in words is "one hundred ninety trillion, twelve billion, one hundred sixteen million, four hundred eighteen thousand, five hundred sixty".