10967953984 has 189 divisors, whose sum is σ = 25351352523. Its totient is φ = 4705219584.

The previous prime is 10967953973. The next prime is 10967954029. The reversal of 10967953984 is 48935976901.

The square root of 10967953984 is 104728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 284664384 + 10683289600 = 16872^2 + 103360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206942502 + ... + 206942554.

Almost surely, 2^10967953984 is an apocalyptic number.

10967953984 is the 104728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10967953984

10967953984 is an abundant number, since it is smaller than the sum of its proper divisors (14383398539).

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

10967953984 is an equidigital number, since it uses as much as digits as its factorization.

10967953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 10967953984 in words is "ten billion, nine hundred sixty-seven million, nine hundred fifty-three thousand, nine hundred eighty-four".