1263888121860 has 1440 divisors, whose sum is σ = 5139585158400. Its totient is φ = 259632801792.

The previous prime is 1263888121801. The next prime is 1263888121871. The reversal of 1263888121860 is 681218883621.

1263888121860 is a `hidden beast` number, since 1 + 2 + 6 + 388 + 81 + 2 + 186 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1263888121797 and 1263888121806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4037981064 + ... + 4037981376.

It is an arithmetic number, because the mean of its divisors is an integer number (3569156360).

Almost surely, 2^{1263888121860} is an apocalyptic number.

1263888121860 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 1263888121860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569792579200).

1263888121860 is an abundant number, since it is smaller than the sum of its proper divisors (3875697036540).

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

1263888121860 is a wasteful number, since it uses less digits than its factorization.

1263888121860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1263888121860 in words is "one trillion, two hundred sixty-three billion, eight hundred eighty-eight million, one hundred twenty-one thousand, eight hundred sixty".