10540551168 has 352 divisors, whose sum is σ = 36079603200. Its totient is φ = 2977579008.

The previous prime is 10540551163. The next prime is 10540551187. The reversal of 10540551168 is 86115504501.

10540551168 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 551 + 1 + 68 = 666.

It is a super-2 number, since 2×10540551168² (a number of 21 digits) contains 22 as substring.

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 (10540551163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20708098 + ... + 20708606.

Almost surely, 2^10540551168 is an apocalyptic number.

10540551168 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 10540551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039801600).

10540551168 is an abundant number, since it is smaller than the sum of its proper divisors (25539052032).

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

10540551168 is a wasteful number, since it uses less digits than its factorization.

10540551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 10540551168 in words is "ten billion, five hundred forty million, five hundred fifty-one thousand, one hundred sixty-eight".