10934516160 has 224 divisors, whose sum is σ = 39396741120. Its totient is φ = 2853725184.

The previous prime is 10934516107. The next prime is 10934516183. The reversal of 10934516160 is 6161543901.

10934516160 is a `hidden beast` number, since 1 + 0 + 9 + 34 + 5 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×10934516160² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392617 + ... + 419543.

Almost surely, 2^10934516160 is an apocalyptic number.

10934516160 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 10934516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698370560).

10934516160 is an abundant number, since it is smaller than the sum of its proper divisors (28462224960).

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

10934516160 is a wasteful number, since it uses less digits than its factorization.

10934516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27000 (or 26984 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10934516160 in words is "ten billion, nine hundred thirty-four million, five hundred sixteen thousand, one hundred sixty".