10755078647040 has 2592 divisors, whose sum is σ = 50077206650016. Its totient is φ = 2104680775680.

The previous prime is 10755078647021. The next prime is 10755078647069. The reversal of 10755078647040 is 4074687055701.

10755078647040 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 50 + 7 + 86 + 470 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 561924147456 + 10193154499584 = 749616^2 + 3192672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9106755250 + ... + 9106756430.

It is an arithmetic number, because the mean of its divisors is an integer number (19319909973).

Almost surely, 2^{10755078647040} is an apocalyptic number.

10755078647040 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 10755078647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038603325008).

10755078647040 is an abundant number, since it is smaller than the sum of its proper divisors (39322128002976).

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

10755078647040 is a wasteful number, since it uses less digits than its factorization.

10755078647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 10755078647040 in words is "ten trillion, seven hundred fifty-five billion, seventy-eight million, six hundred forty-seven thousand, forty".