10705894416 has 400 divisors, whose sum is σ = 36751397760. Its totient is φ = 2945341440.

The previous prime is 10705894411. The next prime is 10705894471. The reversal of 10705894416 is 61449850701.

10705894416 is a `hidden beast` number, since 10 + 7 + 0 + 589 + 44 + 16 = 666.

It is a super-2 number, since 2×10705894416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10705894411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39798730 + ... + 39798998.

Almost surely, 2^10705894416 is an apocalyptic number.

10705894416 is a gapful number since it is divisible by the number (16) 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 10705894416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375698880).

10705894416 is an abundant number, since it is smaller than the sum of its proper divisors (26045503344).

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

10705894416 is a wasteful number, since it uses less digits than its factorization.

10705894416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10705894416 in words is "ten billion, seven hundred five million, eight hundred ninety-four thousand, four hundred sixteen".