10934872704 has 768 divisors, whose sum is σ = 41243904000. Its totient is φ = 2707955712.

The previous prime is 10934872657. The next prime is 10934872717. The reversal of 10934872704 is 40727843901.

10934872704 is a `hidden beast` number, since 10 + 93 + 487 + 2 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10934872704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102195019 + ... + 102195125.

It is an arithmetic number, because the mean of its divisors is an integer number (53703000).

Almost surely, 2^10934872704 is an apocalyptic number.

10934872704 is a gapful number since it is divisible by the number (14) 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 10934872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20621952000).

10934872704 is an abundant number, since it is smaller than the sum of its proper divisors (30309031296).

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

10934872704 is a wasteful number, since it uses less digits than its factorization.

10934872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10934872704 in words is "ten billion, nine hundred thirty-four million, eight hundred seventy-two thousand, seven hundred four".