19940006016 has 96 divisors (see below), whose sum is σ = 65576534400. Its totient is φ = 5697142272.

The previous prime is 19940006011. The next prime is 19940006069. The reversal of 19940006016 is 61060004991.

19940006016 is a `hidden beast` number, since 1 + 9 + 9 + 40 + 0 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19940006011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228296 + ... + 1244423.

It is an arithmetic number, because the mean of its divisors is an integer number (683088900).

Almost surely, 2^19940006016 is an apocalyptic number.

19940006016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19940006016 is an abundant number, since it is smaller than the sum of its proper divisors (45636528384).

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

19940006016 is a wasteful number, since it uses less digits than its factorization.

19940006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472746 (or 2472731 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 19940006016 in words is "nineteen billion, nine hundred forty million, six thousand, sixteen".