10703854111680 has 672 divisors, whose sum is σ = 40013418332160. Its totient is φ = 2617334415360.

The previous prime is 10703854111651. The next prime is 10703854111751. The reversal of 10703854111680 is 8611145830701.

10703854111680 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 38 + 541 + 11 + 68 + 0 = 666.

It is a super-2 number, since 2×10703854111680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 284908257 + ... + 284945823.

It is an arithmetic number, because the mean of its divisors is an integer number (59543777280).

Almost surely, 2^{10703854111680} is an apocalyptic number.

10703854111680 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 10703854111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006709166080).

10703854111680 is an abundant number, since it is smaller than the sum of its proper divisors (29309564220480).

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

10703854111680 is a wasteful number, since it uses less digits than its factorization.

10703854111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37777 (or 37764 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10703854111680 in words is "ten trillion, seven hundred three billion, eight hundred fifty-four million, one hundred eleven thousand, six hundred eighty".