19986380640000 has 1620 divisors, whose sum is σ = 76035519720160. Its totient is φ = 5240401920000.

The previous prime is 19986380639993. The next prime is 19986380640103. The reversal of 19986380640000 is 4608368991.

19986380640000 is a `hidden beast` number, since 19 + 98 + 63 + 80 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×19986380640000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 82931039880 + ... + 82931040120.

Almost surely, 2^{19986380640000} is an apocalyptic number.

19986380640000 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 19986380640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38017759860080).

19986380640000 is an abundant number, since it is smaller than the sum of its proper divisors (56049139080160).

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

19986380640000 is an frugal number, since it uses more digits than its factorization.

19986380640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 19986380640000 in words is "nineteen trillion, nine hundred eighty-six billion, three hundred eighty million, six hundred forty thousand".