10829653750560 has 96 divisors (see below), whose sum is σ = 34451165996352. Its totient is φ = 2859314508800.

The previous prime is 10829653750543. The next prime is 10829653750567. The reversal of 10829653750560 is 6505735692801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10829653750560.

It is not an unprimeable number, because it can be changed into a prime (10829653750567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111643494 + ... + 111740453.

It is an arithmetic number, because the mean of its divisors is an integer number (358866312462).

Almost surely, 2^{10829653750560} is an apocalyptic number.

10829653750560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10829653750560 is an abundant number, since it is smaller than the sum of its proper divisors (23621512245792).

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

10829653750560 is a wasteful number, since it uses less digits than its factorization.

10829653750560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223384066 (or 223384058 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 10829653750560 in words is "ten trillion, eight hundred twenty-nine billion, six hundred fifty-three million, seven hundred fifty thousand, five hundred sixty".