19808127977040 has 800 divisors, whose sum is σ = 76786260677280. Its totient is φ = 4698939506688.

The previous prime is 19808127977039. The next prime is 19808127977063. The reversal of 19808127977040 is 4077972180891.

It can be written as a sum of positive squares in 16 ways, for example, as 15328352540736 + 4479775436304 = 3915144^2 + 2116548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1360721442 + ... + 1360735998.

Almost surely, 2^{19808127977040} is an apocalyptic number.

19808127977040 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 19808127977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38393130338640).

19808127977040 is an abundant number, since it is smaller than the sum of its proper divisors (56978132700240).

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

19808127977040 is a wasteful number, since it uses less digits than its factorization.

19808127977040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 19808127977040 in words is "nineteen trillion, eight hundred eight billion, one hundred twenty-seven million, nine hundred seventy-seven thousand, forty".