19412084160 has 672 divisors, whose sum is σ = 83343536640. Its totient is φ = 4201279488.

The previous prime is 19412084143. The next prime is 19412084161. The reversal of 19412084160 is 6148021491.

19412084160 is a `hidden beast` number, since 1 + 9 + 412 + 0 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×19412084160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19412084161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341142 + ... + 10343018.

It is an arithmetic number, because the mean of its divisors is an integer number (124023120).

Almost surely, 2^19412084160 is an apocalyptic number.

19412084160 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 19412084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41671768320).

19412084160 is an abundant number, since it is smaller than the sum of its proper divisors (63931452480).

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

19412084160 is a wasteful number, since it uses less digits than its factorization.

19412084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 19412084160 in words is "nineteen billion, four hundred twelve million, eighty-four thousand, one hundred sixty".