10784542752 has 36 divisors (see below), whose sum is σ = 30668544270. Its totient is φ = 3594847488.

The previous prime is 10784542697. The next prime is 10784542759. The reversal of 10784542752 is 25724548701.

It can be written as a sum of positive squares in only one way, i.e., 10519374096 + 265168656 = 102564^2 + 16284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10784542698 and 10784542707.

It is not an unprimeable number, because it can be changed into a prime (10784542759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18722877 + ... + 18723452.

Almost surely, 2^10784542752 is an apocalyptic number.

10784542752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10784542752 is an abundant number, since it is smaller than the sum of its proper divisors (19884001518).

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

10784542752 is a wasteful number, since it uses less digits than its factorization.

10784542752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37446345 (or 37446334 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

It can be divided in two parts, 10784 and 542752, that added together give a square (553536 = 744²).

The spelling of 10784542752 in words is "ten billion, seven hundred eighty-four million, five hundred forty-two thousand, seven hundred fifty-two".