10736857017728 has 256 divisors, whose sum is σ = 23233074480000. Its totient is φ = 4929598586880.

The previous prime is 10736857017671. The next prime is 10736857017791. The reversal of 10736857017728 is 82771075863701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960350926 + ... + 1960356402.

Almost surely, 2^{10736857017728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10736857017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616537240000).

10736857017728 is an abundant number, since it is smaller than the sum of its proper divisors (12496217462272).

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

10736857017728 is a wasteful number, since it uses less digits than its factorization.

10736857017728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 62.

The spelling of 10736857017728 in words is "ten trillion, seven hundred thirty-six billion, eight hundred fifty-seven million, seventeen thousand, seven hundred twenty-eight".