19488613944960 has 640 divisors, whose sum is σ = 70179080400000. Its totient is φ = 5153690492928.

The previous prime is 19488613944959. The next prime is 19488613945043. The reversal of 19488613944960 is 6944931688491.

19488613944960 is a `hidden beast` number, since 1 + 9 + 4 + 88 + 61 + 394 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3609668341 + ... + 3609673739.

It is an arithmetic number, because the mean of its divisors is an integer number (109654813125).

Almost surely, 2^{19488613944960} is an apocalyptic number.

19488613944960 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 19488613944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089540200000).

19488613944960 is an abundant number, since it is smaller than the sum of its proper divisors (50690466455040).

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

19488613944960 is a wasteful number, since it uses less digits than its factorization.

19488613944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 19488613944960 in words is "nineteen trillion, four hundred eighty-eight billion, six hundred thirteen million, nine hundred forty-four thousand, nine hundred sixty".