190013241600 has 648 divisors, whose sum is σ = 836134108992. Its totient is φ = 40089600000.

The previous prime is 190013241589. The next prime is 190013241623. The reversal of 190013241600 is 6142310091.

190013241600 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 13 + 2 + 41 + 600 = 666.

190013241600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×190013241600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5223475 + ... + 5259725.

Almost surely, 2^190013241600 is an apocalyptic number.

190013241600 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 190013241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418067054496).

190013241600 is an abundant number, since it is smaller than the sum of its proper divisors (646120867392).

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

190013241600 is a wasteful number, since it uses less digits than its factorization.

190013241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36303 (or 36281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 190013241600 its reverse (6142310091), we get a palindrome (196155551691).

The spelling of 190013241600 in words is "one hundred ninety billion, thirteen million, two hundred forty-one thousand, six hundred".