10736859966432 has 96 divisors (see below), whose sum is σ = 28844925500160. Its totient is φ = 3495089095680.

The previous prime is 10736859966421. The next prime is 10736859966433. The reversal of 10736859966432 is 23466995863701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10736859966433) 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, 22847044 + ... + 23312252.

It is an arithmetic number, because the mean of its divisors is an integer number (300467973960).

It is a 1-persistent number, because it is pandigital, but 2⋅10736859966432 = 21473719932864 is not.

Almost surely, 2^{10736859966432} is an apocalyptic number.

10736859966432 is a gapful number since it is divisible by the number (12) 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 10736859966432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422462750080).

10736859966432 is an abundant number, since it is smaller than the sum of its proper divisors (18108065533728).

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

10736859966432 is a wasteful number, since it uses less digits than its factorization.

10736859966432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470856 (or 470848 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 10736859966432 in words is "ten trillion, seven hundred thirty-six billion, eight hundred fifty-nine million, nine hundred sixty-six thousand, four hundred thirty-two".