19771090984320 has 512 divisors, whose sum is σ = 70328272291200. Its totient is φ = 4690886000640.

The previous prime is 19771090984313. The next prime is 19771090984321. The reversal of 19771090984320 is 2348909017791.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19771090984321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429214090 + ... + 429260150.

Almost surely, 2^{19771090984320} is an apocalyptic number.

19771090984320 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 19771090984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164136145600).

19771090984320 is an abundant number, since it is smaller than the sum of its proper divisors (50557181306880).

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

19771090984320 is a wasteful number, since it uses less digits than its factorization.

19771090984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46718 (or 46706 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 19771090984320 in words is "nineteen trillion, seven hundred seventy-one billion, ninety million, nine hundred eighty-four thousand, three hundred twenty".