19740060288000 has 1232 divisors, whose sum is σ = 79521570828336. Its totient is φ = 4858793164800.

The previous prime is 19740060287953. The next prime is 19740060288007. The reversal of 19740060288000 is 88206004791.

19740060288000 is a `hidden beast` number, since 1 + 97 + 400 + 60 + 28 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4576450461696 + 15163609826304 = 2139264^2 + 3894048^2 .

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 (19740060288007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1213047864 + ... + 1213064136.

Almost surely, 2^{19740060288000} is an apocalyptic number.

19740060288000 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 19740060288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39760785414168).

19740060288000 is an abundant number, since it is smaller than the sum of its proper divisors (59781510540336).

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

19740060288000 is an equidigital number, since it uses as much as digits as its factorization.

19740060288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16339 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 19740060288000 in words is "nineteen trillion, seven hundred forty billion, sixty million, two hundred eighty-eight thousand".