10953346253056 has 81 divisors (see below), whose sum is σ = 22046042111583. Its totient is φ = 5431424494080.

The previous prime is 10953346253053. The next prime is 10953346253077. The reversal of 10953346253056 is 65035264335901.

The square root of 10953346253056 is 3309584.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10953346252994 and 10953346253012.

It is not an unprimeable number, because it can be changed into a prime (10953346253053) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6936887275 + ... + 6936888853.

Almost surely, 2^{10953346253056} is an apocalyptic number.

10953346253056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10953346253056 is the 3309584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10953346253056

10953346253056 is an abundant number, since it is smaller than the sum of its proper divisors (11092695858527).

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

10953346253056 is an frugal number, since it uses more digits than its factorization.

10953346253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 52.

The spelling of 10953346253056 in words is "ten trillion, nine hundred fifty-three billion, three hundred forty-six million, two hundred fifty-three thousand, fifty-six".