1263725056000 has 832 divisors, whose sum is σ = 3716116994304. Its totient is φ = 423886848000.

The previous prime is 1263725055869. The next prime is 1263725056031. The reversal of 1263725056000 is 6505273621.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6414847902 + ... + 6414848098.

It is an arithmetic number, because the mean of its divisors is an integer number (4466486772).

Almost surely, 2^{1263725056000} is an apocalyptic number.

1263725056000 is a gapful number since it is divisible by the number (10) 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 1263725056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858058497152).

1263725056000 is an abundant number, since it is smaller than the sum of its proper divisors (2452391938304).

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

1263725056000 is a wasteful number, since it uses less digits than its factorization.

1263725056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 1263725056000 in words is "one trillion, two hundred sixty-three billion, seven hundred twenty-five million, fifty-six thousand".