19870780507200 has 2016 divisors, whose sum is σ = 89676421591680. Its totient is φ = 4252837478400.

The previous prime is 19870780507169. The next prime is 19870780507261. The reversal of 19870780507200 is 270508707891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7592960292 + ... + 7592962908.

It is an arithmetic number, because the mean of its divisors is an integer number (44482351980).

Almost surely, 2^{19870780507200} is an apocalyptic number.

19870780507200 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 19870780507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44838210795840).

19870780507200 is an abundant number, since it is smaller than the sum of its proper divisors (69805641084480).

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

19870780507200 is a wasteful number, since it uses less digits than its factorization.

19870780507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 19870780507200 in words is "nineteen trillion, eight hundred seventy billion, seven hundred eighty million, five hundred seven thousand, two hundred".