10958403881104 has 45 divisors (see below), whose sum is σ = 21587268705561. Its totient is φ = 5388981716160.

The previous prime is 10958403881021. The next prime is 10958403881137. The reversal of 10958403881104 is 40118830485901.

The square root of 10958403881104 is 3310348.

It is a perfect power (a square), and thus also a powerful number.

10958403881104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 356346914704 + 10602056966400 = 596948^2 + 3256080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 807718129 + ... + 807731695.

Almost surely, 2^{10958403881104} is an apocalyptic number.

10958403881104 is the 3310348-th square number.

It is an amenable number.

10958403881104 is a deficient number, since it is larger than the sum of its proper divisors (10628864824457).

10958403881104 is an frugal number, since it uses more digits than its factorization.

10958403881104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27264 (or 13630 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 10958403881104 in words is "ten trillion, nine hundred fifty-eight billion, four hundred three million, eight hundred eighty-one thousand, one hundred four".