10953895680 has 1152 divisors, whose sum is σ = 49558333440. Its totient is φ = 2257403904.

The previous prime is 10953895679. The next prime is 10953895703. The reversal of 10953895680 is 8659835901.

It is a happy number.

10953895680 is a `hidden beast` number, since 10 + 9 + 538 + 95 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254741739 + ... + 254741781.

Almost surely, 2^10953895680 is an apocalyptic number.

10953895680 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 10953895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24779166720).

10953895680 is an abundant number, since it is smaller than the sum of its proper divisors (38604437760).

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

10953895680 is an frugal number, since it uses more digits than its factorization.

10953895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10953895680 in words is "ten billion, nine hundred fifty-three million, eight hundred ninety-five thousand, six hundred eighty".