1563260092416 has 567 divisors, whose sum is σ = 5101745529153. Its totient is φ = 460912066560.

The previous prime is 1563260092403. The next prime is 1563260092421. The reversal of 1563260092416 is 6142900623651.

The square root of 1563260092416 is 1250304.

It is a perfect power (a square), and thus also a powerful number.

1563260092416 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 2 + 600 + 9 + 24 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1398826598400 + 164433494016 = 1182720^2 + 405504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42250272750 + ... + 42250272786.

Almost surely, 2^{1563260092416} is an apocalyptic number.

1563260092416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1563260092416 is the 1250304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563260092416

1563260092416 is an abundant number, since it is smaller than the sum of its proper divisors (3538485436737).

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

1563260092416 is an frugal number, since it uses more digits than its factorization.

1563260092416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1563260092416 in words is "one trillion, five hundred sixty-three billion, two hundred sixty million, ninety-two thousand, four hundred sixteen".