10953944064 has 176 divisors, whose sum is σ = 37075264000. Its totient is φ = 3129643008.

The previous prime is 10953944041. The next prime is 10953944081. The reversal of 10953944064 is 46044935901.

10953944064 is a `hidden beast` number, since 10 + 9 + 539 + 4 + 40 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165237 + ... + 221835.

Almost surely, 2^10953944064 is an apocalyptic number.

10953944064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10953944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18537632000).

10953944064 is an abundant number, since it is smaller than the sum of its proper divisors (26121319936).

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

10953944064 is an equidigital number, since it uses as much as digits as its factorization.

10953944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56635 (or 56611 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10953944064 in words is "ten billion, nine hundred fifty-three million, nine hundred forty-four thousand, sixty-four".