19478013235200 has 1560 divisors, whose sum is σ = 80393572320600. Its totient is φ = 4628514078720.

The previous prime is 19478013235159. The next prime is 19478013235201. The reversal of 19478013235200 is 253231087491.

It is a happy number.

19478013235200 is a `hidden beast` number, since 1 + 9 + 47 + 80 + 1 + 3 + 2 + 3 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8370883989504 + 11107129245696 = 2893248^2 + 3332736^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19478013235201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3126985686 + ... + 3126991914.

Almost surely, 2^{19478013235200} is an apocalyptic number.

19478013235200 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 19478013235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40196786160300).

19478013235200 is an abundant number, since it is smaller than the sum of its proper divisors (60915559085400).

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

19478013235200 is a wasteful number, since it uses less digits than its factorization.

19478013235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19478013235200 in words is "nineteen trillion, four hundred seventy-eight billion, thirteen million, two hundred thirty-five thousand, two hundred".