10682977536 has 216 divisors, whose sum is σ = 38402704704. Its totient is φ = 2774753280.

The previous prime is 10682977517. The next prime is 10682977561. The reversal of 10682977536 is 63577928601.

10682977536 is a `hidden beast` number, since 10 + 6 + 8 + 2 + 97 + 7 + 536 = 666.

It is a super-2 number, since 2×10682977536² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147300 + ... + 207516.

Almost surely, 2^10682977536 is an apocalyptic number.

10682977536 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 10682977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201352352).

10682977536 is an abundant number, since it is smaller than the sum of its proper divisors (27719727168).

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

10682977536 is a wasteful number, since it uses less digits than its factorization.

10682977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60257 (or 60240 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10682977536 in words is "ten billion, six hundred eighty-two million, nine hundred seventy-seven thousand, five hundred thirty-six".