10938723532704 has 324 divisors, whose sum is σ = 35046465122214. Its totient is φ = 3233899468800.

The previous prime is 10938723532699. The next prime is 10938723532727. The reversal of 10938723532704 is 40723532783901.

It is a happy number.

10938723532704 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 87 + 23 + 532 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5517519123600 + 5421204409104 = 2348940^2 + 2328348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 58486122 + ... + 58672854.

Almost surely, 2^{10938723532704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10938723532704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523232561107).

10938723532704 is an abundant number, since it is smaller than the sum of its proper divisors (24107741589510).

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

10938723532704 is a wasteful number, since it uses less digits than its factorization.

10938723532704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186853 (or 186790 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 10938723532704 in words is "ten trillion, nine hundred thirty-eight billion, seven hundred twenty-three million, five hundred thirty-two thousand, seven hundred four".