10536706456320 has 288 divisors, whose sum is σ = 36728399877120. Its totient is φ = 2553131499520.

The previous prime is 10536706456307. The next prime is 10536706456349. The reversal of 10536706456320 is 2365460763501.

It is a super-3 number, since 3×10536706456320³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10536706456320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89870377 + ... + 89987543.

It is an arithmetic number, because the mean of its divisors is an integer number (127529166240).

Almost surely, 2^{10536706456320} is an apocalyptic number.

10536706456320 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 10536706456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364199938560).

10536706456320 is an abundant number, since it is smaller than the sum of its proper divisors (26191693420800).

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

10536706456320 is a wasteful number, since it uses less digits than its factorization.

10536706456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119331 (or 119317 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 10536706456320 in words is "ten trillion, five hundred thirty-six billion, seven hundred six million, four hundred fifty-six thousand, three hundred twenty".