10953768960 has 360 divisors, whose sum is σ = 38644089120. Its totient is φ = 2869690368.

The previous prime is 10953768919. The next prime is 10953768979. The reversal of 10953768960 is 6986735901.

10953768960 is a `hidden beast` number, since 10 + 9 + 537 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 10953768897 and 10953768906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61194151 + ... + 61194329.

It is an arithmetic number, because the mean of its divisors is an integer number (107344692).

Almost surely, 2^10953768960 is an apocalyptic number.

10953768960 is a gapful number since it is divisible by the number (10) 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 10953768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322044560).

10953768960 is an abundant number, since it is smaller than the sum of its proper divisors (27690320160).

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

10953768960 is an equidigital number, since it uses as much as digits as its factorization.

10953768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10953768960 in words is "ten billion, nine hundred fifty-three million, seven hundred sixty-eight thousand, nine hundred sixty".