1263599864016 has 320 divisors, whose sum is σ = 3998829772800. Its totient is φ = 336059136000.

The previous prime is 1263599864011. The next prime is 1263599864041. The reversal of 1263599864016 is 6104689953621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263599864011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81247441 + ... + 81262991.

It is an arithmetic number, because the mean of its divisors is an integer number (12496343040).

Almost surely, 2^{1263599864016} is an apocalyptic number.

1263599864016 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 1263599864016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999414886400).

1263599864016 is an abundant number, since it is smaller than the sum of its proper divisors (2735229908784).

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

1263599864016 is a wasteful number, since it uses less digits than its factorization.

1263599864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 1263599864016 in words is "one trillion, two hundred sixty-three billion, five hundred ninety-nine million, eight hundred sixty-four thousand, sixteen".