10835553768832 has 128 divisors (see below), whose sum is σ = 23336901504000. Its totient is φ = 4981707546624.

The previous prime is 10835553768797. The next prime is 10835553768841. The reversal of 10835553768832 is 23886735553801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528321394 + ... + 528341902.

It is an arithmetic number, because the mean of its divisors is an integer number (182319543000).

Almost surely, 2^{10835553768832} 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 10835553768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11668450752000).

10835553768832 is an abundant number, since it is smaller than the sum of its proper divisors (12501347735168).

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

10835553768832 is a wasteful number, since it uses less digits than its factorization.

10835553768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21748 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 64.

The spelling of 10835553768832 in words is "ten trillion, eight hundred thirty-five billion, five hundred fifty-three million, seven hundred sixty-eight thousand, eight hundred thirty-two".