10705814784 has 864 divisors, whose sum is σ = 40814592000. Its totient is φ = 2682408960.

The previous prime is 10705814773. The next prime is 10705814809. The reversal of 10705814784 is 48741850701.

It is a super-2 number, since 2×10705814784² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 345348849 + ... + 345348879.

Almost surely, 2^10705814784 is an apocalyptic number.

10705814784 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 10705814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407296000).

10705814784 is an abundant number, since it is smaller than the sum of its proper divisors (30108777216).

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

10705814784 is a wasteful number, since it uses less digits than its factorization.

10705814784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10705814784 in words is "ten billion, seven hundred five million, eight hundred fourteen thousand, seven hundred eighty-four".