10653951168 has 448 divisors, whose sum is σ = 38052044800. Its totient is φ = 2855347200.

The previous prime is 10653951163. The next prime is 10653951169. The reversal of 10653951168 is 86115935601.

10653951168 is a `hidden beast` number, since 1 + 0 + 6 + 539 + 51 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10653951168² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10653951163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34703271 + ... + 34703577.

It is an arithmetic number, because the mean of its divisors is an integer number (84937600).

Almost surely, 2^10653951168 is an apocalyptic number.

10653951168 is a gapful number since it is divisible by the number (18) 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 10653951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026022400).

10653951168 is an abundant number, since it is smaller than the sum of its proper divisors (27398093632).

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

10653951168 is a wasteful number, since it uses less digits than its factorization.

10653951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10653951168 in words is "ten billion, six hundred fifty-three million, nine hundred fifty-one thousand, one hundred sixty-eight".