10950215610321 has 45 divisors (see below), whose sum is σ = 17713433967339. Its totient is φ = 6738355965744.

The previous prime is 10950215610253. The next prime is 10950215610329. The reversal of 10950215610321 is 12301651205901.

It is a happy number.

The square root of 10950215610321 is 3309111.

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

10950215610321 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 0 + 2 + 1 + 5 + 610 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1619854380225 + 9330361230096 = 1272735^2 + 3054564^2 .

It is not a de Polignac number, because 10950215610321 - 2¹⁹ = 10950215086033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10950215610329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 387151846 + ... + 387180128.

Almost surely, 2^{10950215610321} is an apocalyptic number.

10950215610321 is the 3309111-st square number.

10950215610321 is the 1654556-th centered octagonal number.

It is an amenable number.

10950215610321 is a deficient number, since it is larger than the sum of its proper divisors (6763218357018).

10950215610321 is an frugal number, since it uses more digits than its factorization.

10950215610321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56604 (or 28299 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

Multiplying 10950215610321 by its sum of digits (36), we get a square (394207761971556 = 19854666²).

The spelling of 10950215610321 in words is "ten trillion, nine hundred fifty billion, two hundred fifteen million, six hundred ten thousand, three hundred twenty-one".