10557755784720 has 60 divisors (see below), whose sum is σ = 35456463179436. Its totient is φ = 2815401542400.

The previous prime is 10557755784659. The next prime is 10557755784731. The reversal of 10557755784720 is 2748755775501.

10557755784720 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 7 + 7 + 557 + 8 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5253043970304 + 5304711814416 = 2291952^2 + 2303196^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10557755784720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7331774131 + ... + 7331775570.

Almost surely, 2^{10557755784720} is an apocalyptic number.

10557755784720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10557755784720 is an abundant number, since it is smaller than the sum of its proper divisors (24898707394716).

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

10557755784720 is a wasteful number, since it uses less digits than its factorization.

10557755784720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663549720 (or 14663549711 counting only the distinct ones).

The product of its (nonzero) digits is 96040000, while the sum is 63.

The spelling of 10557755784720 in words is "ten trillion, five hundred fifty-seven billion, seven hundred fifty-five million, seven hundred eighty-four thousand, seven hundred twenty".