10962090000 has 225 divisors, whose sum is σ = 38446172193. Its totient is φ = 2914848000.

The previous prime is 10962089977. The next prime is 10962090031. The reversal of 10962090000 is 9026901.

It is a happy number.

The square root of 10962090000 is 104700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5922225936 + 5039864064 = 76956^2 + 70992^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31409826 + ... + 31410174.

Almost surely, 2^10962090000 is an apocalyptic number.

10962090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10962090000 is the 104700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10962090000

10962090000 is an abundant number, since it is smaller than the sum of its proper divisors (27484082193).

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

10962090000 is an frugal number, since it uses more digits than its factorization.

10962090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10962090000 in words is "ten billion, nine hundred sixty-two million, ninety thousand".