19945519488 has 128 divisors (see below), whose sum is σ = 58916016000. Its totient is φ = 6642971136.

The previous prime is 19945519487. The next prime is 19945519511. The reversal of 19945519488 is 88491554991.

19945519488 is a `hidden beast` number, since 1 + 9 + 94 + 55 + 19 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19945519487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8110003 + ... + 8112461.

It is an arithmetic number, because the mean of its divisors is an integer number (460281375).

Almost surely, 2^19945519488 is an apocalyptic number.

19945519488 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 19945519488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458008000).

19945519488 is an abundant number, since it is smaller than the sum of its proper divisors (38970496512).

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

19945519488 is a wasteful number, since it uses less digits than its factorization.

19945519488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4811 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 63.

The spelling of 19945519488 in words is "nineteen billion, nine hundred forty-five million, five hundred nineteen thousand, four hundred eighty-eight".