10736736703056 has 1600 divisors, whose sum is σ = 41579392081920. Its totient is φ = 2596014489600.

The previous prime is 10736736703001. The next prime is 10736736703067. The reversal of 10736736703056 is 65030763763701.

10736736703056 is a `hidden beast` number, since 107 + 367 + 36 + 70 + 30 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10736736702993 and 10736736703011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10215733731 + ... + 10215734781.

Almost surely, 2^{10736736703056} is an apocalyptic number.

10736736703056 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 10736736703056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20789696040960).

10736736703056 is an abundant number, since it is smaller than the sum of its proper divisors (30842655378864).

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

10736736703056 is a wasteful number, since it uses less digits than its factorization.

10736736703056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 54.

The spelling of 10736736703056 in words is "ten trillion, seven hundred thirty-six billion, seven hundred thirty-six million, seven hundred three thousand, fifty-six".