20198459211840 has 3584 divisors, whose sum is σ = 95453317693440. Its totient is φ = 3900793946112.

The previous prime is 20198459211797. The next prime is 20198459211863. The reversal of 20198459211840 is 4811295489102.

20198459211840 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 8 + 4 + 592 + 1 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 511 ways as a sum of consecutive naturals, for example, 123916927599 + ... + 123916927761.

It is an arithmetic number, because the mean of its divisors is an integer number (26633180160).

Almost surely, 2^{20198459211840} is an apocalyptic number.

20198459211840 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 20198459211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47726658846720).

20198459211840 is an abundant number, since it is smaller than the sum of its proper divisors (75254858481600).

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

20198459211840 is a wasteful number, since it uses less digits than its factorization.

20198459211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 20198459211840 in words is "twenty trillion, one hundred ninety-eight billion, four hundred fifty-nine million, two hundred eleven thousand, eight hundred forty".