19536820800000 has 960 divisors, whose sum is σ = 74800552958208. Its totient is φ = 4438425600000.

The previous prime is 19536820799879. The next prime is 19536820800043. The reversal of 19536820800000 is 802863591.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5812798320 + ... + 5812801680.

Almost surely, 2^{19536820800000} is an apocalyptic number.

19536820800000 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 19536820800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37400276479104).

19536820800000 is an abundant number, since it is smaller than the sum of its proper divisors (55263732158208).

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

19536820800000 is an frugal number, since it uses more digits than its factorization.

19536820800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 19536820800000 in words is "nineteen trillion, five hundred thirty-six billion, eight hundred twenty million, eight hundred thousand".