19680642641088 has 1008 divisors, whose sum is σ = 68112621813600. Its totient is φ = 5384574074880.

The previous prime is 19680642641071. The next prime is 19680642641089. The reversal of 19680642641088 is 88014624608691.

19680642641088 is a `hidden beast` number, since 1 + 9 + 6 + 80 + 64 + 2 + 6 + 410 + 88 = 666.

It is a super-2 number, since 2×19680642641088² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19680642641089) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9244077208 + ... + 9244079336.

It is an arithmetic number, because the mean of its divisors is an integer number (67572045450).

Almost surely, 2^{19680642641088} is an apocalyptic number.

19680642641088 is a gapful number since it is divisible by the number (18) 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 19680642641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34056310906800).

19680642641088 is an abundant number, since it is smaller than the sum of its proper divisors (48431979172512).

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

19680642641088 is a wasteful number, since it uses less digits than its factorization.

19680642641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 19680642641088 in words is "nineteen trillion, six hundred eighty billion, six hundred forty-two million, six hundred forty-one thousand, eighty-eight".