10953751104 has 168 divisors, whose sum is σ = 34487144640. Its totient is φ = 3308608512.

The previous prime is 10953751103. The next prime is 10953751121. The reversal of 10953751104 is 40115735901.

It is a happy number.

10953751104 is a `hidden beast` number, since 1 + 0 + 9 + 537 + 5 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10953751103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229954 + ... + 273470.

Almost surely, 2^10953751104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10953751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243572320).

10953751104 is an abundant number, since it is smaller than the sum of its proper divisors (23533393536).

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

10953751104 is a wasteful number, since it uses less digits than its factorization.

10953751104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43577 (or 43564 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10953751104 in words is "ten billion, nine hundred fifty-three million, seven hundred fifty-one thousand, one hundred four".