19827355484160 has 1632 divisors, whose sum is σ = 84945332534400. Its totient is φ = 4261681299456.

The previous prime is 19827355484113. The next prime is 19827355484161. The reversal of 19827355484160 is 6148455372891.

It is a happy number.

19827355484160 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 73 + 5 + 548 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19827355484161) 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, 17196318144 + ... + 17196319296.

It is a 2-persistent number, because it is pandigital, and so is 2⋅19827355484160 = 39654710968320, but 3⋅19827355484160 = 59482066452480 is not.

Almost surely, 2^{19827355484160} is an apocalyptic number.

19827355484160 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 19827355484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42472666267200).

19827355484160 is an abundant number, since it is smaller than the sum of its proper divisors (65117977050240).

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

19827355484160 is an equidigital number, since it uses as much as digits as its factorization.

19827355484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 19827355484160 in words is "nineteen trillion, eight hundred twenty-seven billion, three hundred fifty-five million, four hundred eighty-four thousand, one hundred sixty".