10930834080 has 288 divisors, whose sum is σ = 39895743888. Its totient is φ = 2715648000.

The previous prime is 10930834037. The next prime is 10930834087. The reversal of 10930834080 is 8043803901.

10930834080 is a `hidden beast` number, since 1 + 0 + 9 + 308 + 340 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10338008976 + 592825104 = 101676^2 + 24348^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (10930834087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2470270 + ... + 2474690.

Almost surely, 2^10930834080 is an apocalyptic number.

10930834080 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 10930834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947871944).

10930834080 is an abundant number, since it is smaller than the sum of its proper divisors (28964909808).

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

10930834080 is a wasteful number, since it uses less digits than its factorization.

10930834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10930834080 in words is "ten billion, nine hundred thirty million, eight hundred thirty-four thousand, eighty".