19287057216 has 224 divisors, whose sum is σ = 60394291200. Its totient is φ = 5315788800.

The previous prime is 19287057157. The next prime is 19287057253. The reversal of 19287057216 is 61275078291.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18706621 + ... + 18707651.

Almost surely, 2^19287057216 is an apocalyptic number.

19287057216 is a gapful number since it is divisible by the number (16) 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 19287057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30197145600).

19287057216 is an abundant number, since it is smaller than the sum of its proper divisors (41107233984).

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

19287057216 is a wasteful number, since it uses less digits than its factorization.

19287057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 19287057216 in words is "nineteen billion, two hundred eighty-seven million, fifty-seven thousand, two hundred sixteen".