10736058926560 has 192 divisors, whose sum is σ = 28887166909440. Its totient is φ = 3732421242880.

The previous prime is 10736058926389. The next prime is 10736058926597. The reversal of 10736058926560 is 6562985063701.

It is a super-2 number, since 2×10736058926560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10736058926495 and 10736058926504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82473684 + ... + 82603756.

It is an arithmetic number, because the mean of its divisors is an integer number (150453994320).

Almost surely, 2^{10736058926560} is an apocalyptic number.

10736058926560 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 10736058926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443583454720).

10736058926560 is an abundant number, since it is smaller than the sum of its proper divisors (18151107982880).

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

10736058926560 is a wasteful number, since it uses less digits than its factorization.

10736058926560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132161 (or 132153 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 10736058926560 in words is "ten trillion, seven hundred thirty-six billion, fifty-eight million, nine hundred twenty-six thousand, five hundred sixty".