1260628824784 has 240 divisors, whose sum is σ = 3012305612800. Its totient is φ = 500462696448.

The previous prime is 1260628824773. The next prime is 1260628824799. The reversal of 1260628824784 is 4874288260621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122554047 + ... + 1122555169.

Almost surely, 2^{1260628824784} is an apocalyptic number.

1260628824784 is a gapful number since it is divisible by the number (14) 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 1260628824784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506152806400).

1260628824784 is an abundant number, since it is smaller than the sum of its proper divisors (1751676788016).

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

1260628824784 is a wasteful number, since it uses less digits than its factorization.

1260628824784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 1260628824784 in words is "one trillion, two hundred sixty billion, six hundred twenty-eight million, eight hundred twenty-four thousand, seven hundred eighty-four".