19056216816 has 600 divisors, whose sum is σ = 70905243024. Its totient is φ = 4894525440.

The previous prime is 19056216811. The next prime is 19056216821. The reversal of 19056216816 is 61861265091.

19056216816 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 621 + 6 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (19056216811) and next prime (19056216821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19056216811) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33847351 + ... + 33847913.

Almost surely, 2^19056216816 is an apocalyptic number.

19056216816 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 19056216816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35452621512).

19056216816 is an abundant number, since it is smaller than the sum of its proper divisors (51849026208).

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

19056216816 is a wasteful number, since it uses less digits than its factorization.

19056216816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 19056216816 in words is "nineteen billion, fifty-six million, two hundred sixteen thousand, eight hundred sixteen".