1563960599712 has 960 divisors, whose sum is σ = 5875481525760. Its totient is φ = 397595049984.

The previous prime is 1563960599699. The next prime is 1563960599731. The reversal of 1563960599712 is 2179950693651.

1563960599712 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 9 + 605 + 9 + 9 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1563960599712.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 631391818 + ... + 631394294.

It is an arithmetic number, because the mean of its divisors is an integer number (6120293256).

Almost surely, 2^{1563960599712} is an apocalyptic number.

1563960599712 is a gapful number since it is divisible by the number (12) 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 1563960599712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937740762880).

1563960599712 is an abundant number, since it is smaller than the sum of its proper divisors (4311520926048).

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

1563960599712 is a wasteful number, since it uses less digits than its factorization.

1563960599712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 1563960599712 in words is "one trillion, five hundred sixty-three billion, nine hundred sixty million, five hundred ninety-nine thousand, seven hundred twelve".