10505650853376 has 720 divisors, whose sum is σ = 35581422580704. Its totient is φ = 2975276924928.

The previous prime is 10505650853351. The next prime is 10505650853471. The reversal of 10505650853376 is 67335805650501.

10505650853376 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 56 + 50 + 8 + 533 + 7 + 6 = 666.

It is a super-2 number, since 2×10505650853376² (a number of 27 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 71 ways as a sum of consecutive naturals, for example, 20885985541 + ... + 20885986043.

Almost surely, 2^{10505650853376} is an apocalyptic number.

10505650853376 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 10505650853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790711290352).

10505650853376 is an abundant number, since it is smaller than the sum of its proper divisors (25075771727328).

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

10505650853376 is a wasteful number, since it uses less digits than its factorization.

10505650853376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 10505650853376 in words is "ten trillion, five hundred five billion, six hundred fifty million, eight hundred fifty-three thousand, three hundred seventy-six".