1563878016 has 192 divisors, whose sum is σ = 4713770880. Its totient is φ = 516077568.

The previous prime is 1563878009. The next prime is 1563878023. The reversal of 1563878016 is 6108783651.

1563878016 is a `hidden beast` number, since 1 + 5 + 638 + 7 + 8 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1563878009) and next prime (1563878023).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4261065 + ... + 4261431.

It is an arithmetic number, because the mean of its divisors is an integer number (24550890).

Almost surely, 2^1563878016 is an apocalyptic number.

1563878016 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 1563878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356885440).

1563878016 is an abundant number, since it is smaller than the sum of its proper divisors (3149892864).

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

1563878016 is an equidigital number, since it uses as much as digits as its factorization.

1563878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1563878016 is about 39545.8975874869. The cubic root of 1563878016 is about 1160.7382379642.

The spelling of 1563878016 in words is "one billion, five hundred sixty-three million, eight hundred seventy-eight thousand, sixteen".