10635972812832 has 96 divisors (see below), whose sum is σ = 28353414180672. Its totient is φ = 3490593767424.

The previous prime is 10635972812789. The next prime is 10635972812833. The reversal of 10635972812832 is 23821827953601.

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

It is a super-2 number, since 2×10635972812832² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10635972812833) 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, 1161798 + ... + 4756229.

It is an arithmetic number, because the mean of its divisors is an integer number (295348064382).

Almost surely, 2^{10635972812832} is an apocalyptic number.

10635972812832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10635972812832 is an abundant number, since it is smaller than the sum of its proper divisors (17717441367840).

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

10635972812832 is a wasteful number, since it uses less digits than its factorization.

10635972812832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918330 (or 5918322 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 10635972812832 in words is "ten trillion, six hundred thirty-five billion, nine hundred seventy-two million, eight hundred twelve thousand, eight hundred thirty-two".