19482537984000 has 3072 divisors, whose sum is σ = 86151870604800. Its totient is φ = 3864526848000.

The previous prime is 19482537983969. The next prime is 19482537984011. The reversal of 19482537984000 is 48973528491.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148721663935 + ... + 148721664065.

Almost surely, 2^{19482537984000} is an apocalyptic number.

19482537984000 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 19482537984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43075935302400).

19482537984000 is an abundant number, since it is smaller than the sum of its proper divisors (66669332620800).

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

19482537984000 is a wasteful number, since it uses less digits than its factorization.

19482537984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 19482537984000 in words is "nineteen trillion, four hundred eighty-two billion, five hundred thirty-seven million, nine hundred eighty-four thousand".